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10012202112 = 273112215483
BaseRepresentation
bin10010101001100011…
…00001010010000000
3221211202201120021110
421110301201102000
5131001110431422
64333300123320
7503053212423
oct112461412200
927752646243
1010012202112
114278699700
121b35096540
13c373a0463
146ada1b9ba
153d8ebd60c
hex254c61480

10012202112 has 96 divisors (see below), whose sum is σ = 29232559440. Its totient is φ = 3033986560.

The previous prime is 10012202111. The next prime is 10012202113. The reversal of 10012202112 is 21120221001.

It is an interprime number because it is at equal distance from previous prime (10012202111) and next prime (10012202113).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×100122021122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10012202111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61278 + ... + 154205.

Almost surely, 210012202112 is an apocalyptic number.

10012202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012202112 is an abundant number, since it is smaller than the sum of its proper divisors (19220357328).

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

10012202112 is a wasteful number, since it uses less digits than its factorization.

10012202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215522 (or 215499 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10012202112 its reverse (21120221001), we get a palindrome (31132423113).

The spelling of 10012202112 in words is "ten billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 264 352 363 384 484 528 704 726 968 1056 1408 1452 1936 2112 2904 3872 4224 5808 7744 11616 15488 23232 46464 215483 430966 646449 861932 1292898 1723864 2370313 2585796 3447728 4740626 5171592 6895456 7110939 9481252 10343184 13790912 14221878 18962504 20686368 26073443 27581824 28443756 37925008 41372736 52146886 56887512 75850016 78220329 82745472 104293772 113775024 151700032 156440658 208587544 227550048 303400064 312881316 417175088 455100096 625762632 834350176 910200192 1251525264 1668700352 2503050528 3337400704 5006101056 10012202112