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102075683116 = 221117592312963
BaseRepresentation
bin101111100010000101…
…1110101000100101100
3100202110211101222012011
41133010023311010230
53133022333324431
6114520512051004
710242346663531
oct1370413650454
9322424358164
10102075683116
113a3210755a0
1217948b33a64
1398198652c4
144d249bad88
1529c659bcb1
hex17c42f512c

102075683116 has 48 divisors (see below), whose sum is σ = 209832094080. Its totient is φ = 42928574720.

The previous prime is 102075683093. The next prime is 102075683119. The reversal of 102075683116 is 611386570201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102075683119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1112350 + ... + 1200613.

It is an arithmetic number, because the mean of its divisors is an integer number (4371501960).

Almost surely, 2102075683116 is an apocalyptic number.

It is an amenable number.

102075683116 is an abundant number, since it is smaller than the sum of its proper divisors (107756410964).

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

102075683116 is a wasteful number, since it uses less digits than its factorization.

102075683116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313054 (or 2313052 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 102075683116 in words is "one hundred two billion, seventy-five million, six hundred eighty-three thousand, one hundred sixteen".

Divisors: 1 2 4 11 17 22 34 44 59 68 118 187 236 374 649 748 1003 1298 2006 2596 4012 11033 22066 44132 2312963 4625926 9251852 25442593 39320371 50885186 78640742 101770372 136464817 157281484 272929634 432524081 545859268 865048162 1501112987 1730096324 2319901889 3002225974 4639803778 6004451948 9279607556 25518920779 51037841558 102075683116