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102359057 = 1737353461
BaseRepresentation
bin1100001100111…
…10000000010001
321010121101020012
412012132000101
5202200442212
614053524305
72352015623
oct606360021
9233541205
10102359057
1152862969
122a343695
131828b4b8
14d846c13
158ebd922
hex619e011

102359057 has 16 divisors (see below), whose sum is σ = 111866832. Its totient is φ = 93265920.

The previous prime is 102359053. The next prime is 102359071. The reversal of 102359057 is 750953201.

It can be written as a sum of positive squares in 8 ways, for example, as 5612161 + 96746896 = 2369^2 + 9836^2 .

It is a cyclic number.

It is not a de Polignac number, because 102359057 - 22 = 102359053 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102359051) 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, 221807 + ... + 222267.

It is an arithmetic number, because the mean of its divisors is an integer number (6991677).

Almost surely, 2102359057 is an apocalyptic number.

102359057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

102359057 is a deficient number, since it is larger than the sum of its proper divisors (9507775).

102359057 is a wasteful number, since it uses less digits than its factorization.

102359057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868.

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 102359057 is about 10117.2652925581. The cubic root of 102359057 is about 467.7804766466.

The spelling of 102359057 in words is "one hundred two million, three hundred fifty-nine thousand, fifty-seven".

Divisors: 1 17 37 353 461 629 6001 7837 13061 17057 162733 222037 289969 2766461 6021121 102359057