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102685582161 = 3211409509129
BaseRepresentation
bin101111110100010001…
…0011010001101010001
3100211001100001001101200
41133220202122031101
53140300002112121
6115101220221413
710263434022051
oct1375042321521
9324040031350
10102685582161
113a604374798
1217a9923a869
1398b6018806
144d819bd561
152a0edc2a26
hex17e889a351

102685582161 has 6 divisors (see below), whose sum is σ = 148323618690. Its totient is φ = 68457054768.

The previous prime is 102685582133. The next prime is 102685582193. The reversal of 102685582161 is 161285586201.

102685582161 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 8 + 5 + 582 + 1 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65270030400 + 37415551761 = 255480^2 + 193431^2 .

It is not a de Polignac number, because 102685582161 - 27 = 102685582033 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102685582561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5704754556 + ... + 5704754573.

It is an arithmetic number, because the mean of its divisors is an integer number (24720603115).

Almost surely, 2102685582161 is an apocalyptic number.

It is an amenable number.

102685582161 is a deficient number, since it is larger than the sum of its proper divisors (45638036529).

102685582161 is a wasteful number, since it uses less digits than its factorization.

102685582161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11409509135 (or 11409509132 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 102685582161 in words is "one hundred two billion, six hundred eighty-five million, five hundred eighty-two thousand, one hundred sixty-one".

Divisors: 1 3 9 11409509129 34228527387 102685582161