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10000111112212 = 22134492357181717
BaseRepresentation
bin1001000110000101010100…
…0100100001000000010100
31022102000000221022100010111
42101201111010201000110
52302320211421042322
633133553154332404
72051325034650514
oct221412504410024
938360027270114
1010000111112212
1132060290252a1
121156108b8a104
1357701118cbb0
14268017bb3844
151251d4a90177
hex91855121014

10000111112212 has 48 divisors (see below), whose sum is σ = 18896455040400. Its totient is φ = 4603177377792.

The previous prime is 10000111112183. The next prime is 10000111112213. The reversal of 10000111112212 is 21221111100001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2668341852036 + 7331769260176 = 1633506^2 + 2707724^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10000111112192 and 10000111112201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000111112213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54940378 + ... + 55122094.

It is an arithmetic number, because the mean of its divisors is an integer number (393676146675).

Almost surely, 210000111112212 is an apocalyptic number.

It is an amenable number.

10000111112212 is a deficient number, since it is larger than the sum of its proper divisors (8896343928188).

10000111112212 is a wasteful number, since it uses less digits than its factorization.

10000111112212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184540 (or 184538 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10000111112212 its reverse (21221111100001), we get a palindrome (31221222212213).

The spelling of 10000111112212 in words is "ten trillion, one hundred eleven million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 13 26 52 449 898 1796 2357 4714 5837 9428 11674 23348 30641 61282 122564 181717 363434 726868 1058293 2116586 2362321 4233172 4724642 9449284 13757809 27515618 55031236 81590933 163181866 326363732 428306969 856613938 1060682129 1713227876 2121364258 4242728516 5567990597 11135981194 22271962388 192309829081 384619658162 769239316324 2500027778053 5000055556106 10000111112212