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102202122032312 = 23231093508185101
BaseRepresentation
bin10111001111001111001001…
…001011011101010010111000
3111101212102112121102110211112
4113033033021023131102320
5101343434421220013222
61001211001240215452
730345600600443411
oct2717171113352270
9441772477373745
10102202122032312
112a623749535475
12b567557a6a588
13450480752c7b3
141b34875526808
15bc37a218bbe2
hex5cf3c92dd4b8

102202122032312 has 32 divisors (see below), whose sum is σ = 200143620571680. Its totient is φ = 48834555369600.

The previous prime is 102202122032291. The next prime is 102202122032377. The reversal of 102202122032312 is 213230221202201.

It is a happy number.

It is a super-3 number, since 3×1022021220323123 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253891439 + ... + 254293662.

It is an arithmetic number, because the mean of its divisors is an integer number (6254488142865).

Almost surely, 2102202122032312 is an apocalyptic number.

It is an amenable number.

102202122032312 is a deficient number, since it is larger than the sum of its proper divisors (97941498539368).

102202122032312 is a wasteful number, since it uses less digits than its factorization.

102202122032312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508186223 (or 508186219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 102202122032312 its reverse (213230221202201), we get a palindrome (315432343234513).

The spelling of 102202122032312 in words is "one hundred two trillion, two hundred two billion, one hundred twenty-two million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 4 8 23 46 92 184 1093 2186 4372 8744 25139 50278 100556 201112 508185101 1016370202 2032740404 4065480808 11688257323 23376514646 46753029292 93506058584 555446315393 1110892630786 2221785261572 4443570523144 12775265254039 25550530508078 51101061016156 102202122032312