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10000100111112 = 23323137121090043
BaseRepresentation
bin1001000110000101010001…
…1010100011001100001000
31022102000000011121102110100
42101201110122203030020
52302320201112023422
633133552122445400
72051324542311366
oct221412432431410
938360004542410
1010000100111112
1132060228a0a81
121156105363860
1357700bb0a777
1426801654c636
151251d3b1a7ac
hex918546a3308

10000100111112 has 96 divisors (see below), whose sum is σ = 28712871233280. Its totient is φ = 3138653888640.

The previous prime is 10000100111047. The next prime is 10000100111159. The reversal of 10000100111112 is 21111100100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10000100111094 and 10000100111103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60462438 + ... + 60627605.

It is an arithmetic number, because the mean of its divisors is an integer number (299092408680).

Almost surely, 210000100111112 is an apocalyptic number.

10000100111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000100111112 is an abundant number, since it is smaller than the sum of its proper divisors (18712771122168).

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

10000100111112 is a wasteful number, since it uses less digits than its factorization.

10000100111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121090123 (or 121090116 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10000100111112 its reverse (21111100100001), we get a palindrome (31111200211113).

The spelling of 10000100111112 in words is "ten trillion, one hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 37 62 72 74 93 111 124 148 186 222 248 279 296 333 372 444 558 666 744 888 1116 1147 1332 2232 2294 2664 3441 4588 6882 9176 10323 13764 20646 27528 41292 82584 121090043 242180086 363270129 484360172 726540258 968720344 1089810387 1453080516 2179620774 2906161032 3753791333 4359241548 4480331591 7507582666 8718483096 8960663182 11261373999 13440994773 15015165332 17921326364 22522747998 26881989546 30030330664 33784121997 35842652728 40322984319 45045495996 53763979092 67568243994 80645968638 90090991992 107527958184 135136487988 138890279321 161291937276 270272975976 277780558642 322583874552 416670837963 555561117284 833341675926 1111122234568 1250012513889 1666683351852 2500025027778 3333366703704 5000050055556 10000100111112