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10212303425220 = 223251340791069927
BaseRepresentation
bin1001010010011011110010…
…1101111100111011000100
31100011021201222120200211100
42110212330231330323010
52314304244134101340
633415244544140100
72102546253601551
oct224467455747304
940137658520740
1010212303425220
11328801705a736
12118b267907630
13591029439060
142743c7253a28
1512a9a35c1830
hex949bcb7cec4

10212303425220 has 144 divisors (see below), whose sum is σ = 33368400898560. Its totient is φ = 2513179139328.

The previous prime is 10212303425213. The next prime is 10212303425231. The reversal of 10212303425220 is 2252430321201.

10212303425220 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 230 + 3 + 425 + 2 + 2 + 0 = 666.

It is a super-2 number, since 2×102123034252202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9009897 + ... + 10079823.

It is an arithmetic number, because the mean of its divisors is an integer number (231725006240).

Almost surely, 210212303425220 is an apocalyptic number.

10212303425220 is a gapful number since it is divisible by the number (10) 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 10212303425220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16684200449280).

10212303425220 is an abundant number, since it is smaller than the sum of its proper divisors (23156097473340).

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

10212303425220 is a wasteful number, since it uses less digits than its factorization.

10212303425220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074034 (or 1074029 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10212303425220 its reverse (2252430321201), we get a palindrome (12464733746421).

The spelling of 10212303425220 in words is "ten trillion, two hundred twelve billion, three hundred three million, four hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 4079 8158 12237 16316 20395 24474 36711 40790 48948 53027 61185 73422 81580 106054 122370 146844 159081 183555 212108 244740 265135 318162 367110 477243 530270 636324 734220 795405 954486 1060540 1069927 1590810 1908972 2139854 2386215 3181620 3209781 4279708 4772430 5349635 6419562 9544860 9629343 10699270 12839124 13909051 16048905 19258686 21398540 27818102 32097810 38517372 41727153 48146715 55636204 64195620 69545255 83454306 96293430 125181459 139090510 166908612 192586860 208635765 250362918 278181020 417271530 500725836 625907295 834543060 1251814590 2503629180 4364232233 8728464466 13092696699 17456928932 21821161165 26185393398 39278090097 43642322330 52370786796 56735019029 65463483495 78556180194 87284644660 113470038058 130926966990 157112360388 170205057087 196390450485 226940076116 261853933980 283675095145 340410114174 392780900970 510615171261 567350190290 680820228348 785561801940 851025285435 1021230342522 1134700380580 1702050570870 2042460685044 2553075856305 3404101141740 5106151712610 10212303425220