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102002111110212 = 22347267167710523
BaseRepresentation
bin10111001100010100110111…
…100110010101110001000100
3111101011022021111120220000220
4113030110313212111301010
5101332200310421011322
61000535042320104340
730325260254606505
oct2714246746256104
9441138244526026
10102002111110212
112a556941594345
12b5348387650b0
1344bb9b0b88151
141b28cddc00bac
15bbd497cab55c
hex5cc537995c44

102002111110212 has 48 divisors (see below), whose sum is σ = 243159867052032. Its totient is φ = 33264825248160.

The previous prime is 102002111110187. The next prime is 102002111110219. The reversal of 102002111110212 is 212011111200201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102002111110191 and 102002111110200.

It is not an unprimeable number, because it can be changed into a prime (102002111110219) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32348818 + ... + 35361705.

It is an arithmetic number, because the mean of its divisors is an integer number (5065830563584).

Almost surely, 2102002111110212 is an apocalyptic number.

102002111110212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102002111110212 is an abundant number, since it is smaller than the sum of its proper divisors (141157755941820).

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

102002111110212 is a wasteful number, since it uses less digits than its factorization.

102002111110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67713248 (or 67713246 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102002111110212 its reverse (212011111200201), we get a palindrome (314013222310413).

The spelling of 102002111110212 in words is "one hundred two trillion, two billion, one hundred eleven million, one hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 2671 5342 8013 10684 16026 32052 125537 251074 376611 502148 753222 1506444 67710523 135421046 203131569 270842092 406263138 812526276 3182394581 6364789162 9547183743 12729578324 19094367486 38188734972 180854806933 361709613866 542564420799 723419227732 1085128841598 2170257683196 8500175925851 17000351851702 25500527777553 34000703703404 51001055555106 102002111110212