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2200300310120 = 23511191579716661
BaseRepresentation
bin100000000001001100000…
…111100100111001101000
321210100100201012212111112
4200001030013210321220
5242022203334410440
64402445355445452
7314652331022543
oct40011407447150
97710321185445
102200300310120
11779162188470
122b6524156888
1312c644b5c533
14786d07c585a
153c37c9c2965
hex2004c1e4e68

2200300310120 has 128 divisors (see below), whose sum is σ = 5685687561600. Its totient is φ = 757904716800.

The previous prime is 2200300310069. The next prime is 2200300310141. The reversal of 2200300310120 is 210130030022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2200300310095 and 2200300310104.

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, 132054590 + ... + 132071250.

It is an arithmetic number, because the mean of its divisors is an integer number (44419434075).

Almost surely, 22200300310120 is an apocalyptic number.

2200300310120 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 2200300310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842843780800).

2200300310120 is an abundant number, since it is smaller than the sum of its proper divisors (3485387251480).

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

2200300310120 is a wasteful number, since it uses less digits than its factorization.

2200300310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32499 (or 32495 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2200300310120 its reverse (210130030022), we get a palindrome (2410430340142).

The spelling of 2200300310120 in words is "two trillion, two hundred billion, three hundred million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1672 2090 4180 8360 15797 16661 31594 33322 63188 66644 78985 83305 126376 133288 157970 166610 173767 183271 300143 315940 316559 333220 347534 366542 600286 631880 633118 666440 695068 733084 868835 916355 1200572 1266236 1390136 1466168 1500715 1582795 1737670 1832710 2401144 2532472 3001430 3165590 3301573 3475340 3482149 3665420 6002860 6331180 6603146 6950680 6964298 7330840 12005720 12662360 13206292 13928596 16507865 17410745 26412584 27857192 33015730 34821490 66031460 69642980 132062920 139285960 263193817 526387634 1052775268 1315969085 2105550536 2631938170 2895131987 5000682523 5263876340 5790263974 10001365046 10527752680 11580527948 14475659935 20002730092 23161055896 25003412615 28951319870 40005460184 50006825230 55007507753 57902639740 100013650460 110015015506 115805279480 200027300920 220030031012 275037538765 440060062024 550075077530 1100150155060 2200300310120