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102110022112212 = 223219384471739827
BaseRepresentation
bin10111001101111001010111…
…100110001001001111010100
3111101112121211000011202212200
4113031321113212021033110
5101340432311130042322
61001100410243244500
730336130352155002
oct2715712746111724
9441477730152780
10102110022112212
112a598687530324
12b551733979730
1344c8c1a649b5a
141b3021979da72
15bc11b17b18ac
hex5cde579893d4

102110022112212 has 72 divisors (see below), whose sum is σ = 259479673829376. Its totient is φ = 33856290192384.

The previous prime is 102110022112211. The next prime is 102110022112213. The reversal of 102110022112212 is 212211220011201.

102110022112212 is a `hidden beast` number, since 10 + 211 + 0 + 0 + 221 + 1 + 221 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (102110022112211) and next prime (102110022112213).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102110022112211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57819843 + ... + 59559669.

Almost surely, 2102110022112212 is an apocalyptic number.

102110022112212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102110022112212 is an abundant number, since it is smaller than the sum of its proper divisors (157369651717164).

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

102110022112212 is a wasteful number, since it uses less digits than its factorization.

102110022112212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748477 (or 1748472 counting only the distinct ones).

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

Adding to 102110022112212 its reverse (212211220011201), we get a palindrome (314321242123413).

The spelling of 102110022112212 in words is "one hundred two trillion, one hundred ten billion, twenty-two million, one hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 6948 8447 16894 25341 33788 50682 76023 101364 152046 304092 1630271 1739827 3260542 3479654 4890813 5219481 6521084 6959308 9781626 10438962 14672439 15658443 19563252 20877924 29344878 31316886 58689756 62633772 335786611 671573222 1007359833 1343146444 2014719666 3022079499 4029439332 6044158998 12088317996 14696318669 29392637338 44088956007 58785274676 88177912014 132266868021 176355824028 264533736042 529067472084 2836389503117 5672779006234 8509168509351 11345558012468 17018337018702 25527505528053 34036674037404 51055011056106 102110022112212