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200203220122320 = 243521126991464787
BaseRepresentation
bin101101100001010101110001…
…110100010111101011010000
3222020212020111122010220110110
4231201111301310113223100
5202220112143322403240
61545444031210001320
760112130300000322
oct5541256164275320
9866766448126413
10200203220122320
1158877788521068
121a554885416240
13879310c77387c
143761c5d64b612
151822b2a088c80
hexb61571d17ad0

200203220122320 has 160 divisors (see below), whose sum is σ = 623802820492800. Its totient is φ = 53114780920320.

The previous prime is 200203220122319. The next prime is 200203220122351. The reversal of 200203220122320 is 23221022302002.

200203220122320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002032201223202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135944967 + ... + 137409753.

It is an arithmetic number, because the mean of its divisors is an integer number (3898767628080).

Almost surely, 2200203220122320 is an apocalyptic number.

200203220122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200203220122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311901410246400).

200203220122320 is an abundant number, since it is smaller than the sum of its proper divisors (423599600370480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200203220122320 is a wasteful number, since it uses less digits than its factorization.

200203220122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467713 (or 1467707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 200203220122320 its reverse (23221022302002), we get a palindrome (223424242424322).

The spelling of 200203220122320 in words is "two hundred trillion, two hundred three billion, two hundred twenty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 211 240 422 633 844 1055 1266 1688 2110 2532 2699 3165 3376 4220 5064 5398 6330 8097 8440 10128 10796 12660 13495 16194 16880 21592 25320 26990 32388 40485 43184 50640 53980 64776 80970 107960 129552 161940 215920 323880 569489 647760 1138978 1464787 1708467 2277956 2847445 2929574 3416934 4394361 4555912 5694890 5859148 6833868 7323935 8542335 8788722 9111824 11389780 11718296 13667736 14647870 17084670 17577444 21971805 22779560 23436592 27335472 29295740 34169340 35154888 43943610 45559120 58591480 68338680 70309776 87887220 117182960 136677360 175774440 309070057 351548880 618140114 927210171 1236280228 1545350285 1854420342 2472560456 3090700570 3708840684 3953460113 4636050855 4945120912 6181401140 7417681368 7906920226 9272101710 11860380339 12362802280 14835362736 15813840452 18544203420 19767300565 23720760678 24725604560 31627680904 37088406840 39534601130 47441521356 59301901695 63255361808 74176813680 79069202260 94883042712 118603803390 158138404520 189766085424 237207606780 316276809040 474415213560 834180083843 948830427120 1668360167686 2502540251529 3336720335372 4170900419215 5005080503058 6673440670744 8341800838430 10010161006116 12512701257645 13346881341488 16683601676860 20020322012232 25025402515290 33367203353720 40040644024464 50050805030580 66734406707440 100101610061160 200203220122320