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10102112212212 = 2233178521645727
BaseRepresentation
bin1001001100000001010011…
…0011110101010011110100
31022202202022120101002112000
42103000110303311103310
52311003111211242322
633252502444055300
72061565521002016
oct223002463652364
938682276332460
1010102112212212
113245310a89449
121171a34b34530
13583818440577
1426cd328d81b6
15127ba48083ac
hex93014cf54f4

10102112212212 has 96 divisors (see below), whose sum is σ = 27734585840640. Its totient is φ = 3168913259520.

The previous prime is 10102112212187. The next prime is 10102112212259. The reversal of 10102112212212 is 21221221120101.

10102112212212 is a `hidden beast` number, since 1 + 0 + 10 + 211 + 221 + 221 + 2 = 666.

It is a super-2 number, since 2×101021122122122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15321693 + ... + 15967419.

It is an arithmetic number, because the mean of its divisors is an integer number (288901935840).

Almost surely, 210102112212212 is an apocalyptic number.

10102112212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102112212212 is an abundant number, since it is smaller than the sum of its proper divisors (17632473628428).

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

10102112212212 is a wasteful number, since it uses less digits than its factorization.

10102112212212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654278 (or 654270 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10102112212212 its reverse (21221221120101), we get a palindrome (31323333332313).

The spelling of 10102112212212 in words is "ten trillion, one hundred two billion, one hundred twelve million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 8521 17042 25563 34084 51126 76689 102252 144857 153378 230067 289714 306756 434571 460134 579428 645727 869142 920268 1291454 1303713 1738284 1937181 2582908 2607426 3874362 3911139 5214852 5811543 7748724 7822278 10977359 11623086 15644556 17434629 21954718 23246172 32932077 34869258 43909436 65864154 69738516 98796231 131728308 197592462 296388693 395184924 592777386 1185554772 5502239767 11004479534 16506719301 22008959068 33013438602 49520157903 66026877204 93538076039 99040315806 148560473709 187076152078 198080631612 280614228117 297120947418 374152304156 561228456234 594241894836 841842684351 1122456912468 1683685368702 2525528053053 3367370737404 5051056106106 10102112212212