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102222220102212 = 22372533280137983
BaseRepresentation
bin10111001111100001110111…
…000111100000101001000100
3111101221100102021111012200210
4113033201313013200221010
5101344302101321232322
61001224123431435420
730350211623303400
oct2717416707405104
9441840367435623
10102222220102212
112a6312223578a1
12b56b426825b70
13450668b323552
141b3582085a100
15bc407b82a70c
hex5cf8771e0a44

102222220102212 has 72 divisors (see below), whose sum is σ = 282695412013056. Its totient is φ = 28655285410752.

The previous prime is 102222220102207. The next prime is 102222220102237. The reversal of 102222220102212 is 212201022222201.

It is a super-2 number, since 2×1022222201022122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640037828 + ... + 1640100155.

It is an arithmetic number, because the mean of its divisors is an integer number (3926325166848).

Almost surely, 2102222220102212 is an apocalyptic number.

102222220102212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102222220102212 is an abundant number, since it is smaller than the sum of its proper divisors (180473191910844).

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

102222220102212 is a wasteful number, since it uses less digits than its factorization.

102222220102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280138057 (or 3280138048 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102222220102212 its reverse (212201022222201), we get a palindrome (314423242324413).

The spelling of 102222220102212 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twenty million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 53 84 98 106 147 159 196 212 294 318 371 588 636 742 1113 1484 2226 2597 4452 5194 7791 10388 15582 31164 3280137983 6560275966 9840413949 13120551932 19680827898 22960965881 39361655796 45921931762 68882897643 91843863524 137765795286 160726761167 173847313099 275531590572 321453522334 347694626198 482180283501 521541939297 642907044668 695389252396 964360567002 1043083878594 1216931191693 1928721134004 2086167757188 2433862383386 3650793575079 4867724766772 7301587150158 8518518341851 14603174300316 17037036683702 25555555025553 34074073367404 51111110051106 102222220102212