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102431329 = 71113102329
BaseRepresentation
bin1100001101011…
…11101001100001
321010202001100221
412012233221201
5202210300304
614055243041
72352436420
oct606575141
9233661327
10102431329
11529021a0
122a379481
13182b5370
14d8652b7
158ed5054
hex61afa61

102431329 has 16 divisors (see below), whose sum is σ = 137531520. Its totient is φ = 73676160.

The previous prime is 102431327. The next prime is 102431359. The reversal of 102431329 is 923134201.

It is a cyclic number.

It is not a de Polignac number, because 102431329 - 21 = 102431327 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102431323) 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, 50164 + ... + 52165.

It is an arithmetic number, because the mean of its divisors is an integer number (8595720).

Almost surely, 2102431329 is an apocalyptic number.

It is an amenable number.

102431329 is a deficient number, since it is larger than the sum of its proper divisors (35100191).

102431329 is a wasteful number, since it uses less digits than its factorization.

102431329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102360.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 102431329 is about 10120.8363784818. The cubic root of 102431329 is about 467.8905449948.

It can be divided in two parts, 1024 and 31329, that multiplied together give a square (32080896 = 56642).

The spelling of 102431329 in words is "one hundred two million, four hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 7 11 13 77 91 143 1001 102329 716303 1125619 1330277 7879333 9311939 14633047 102431329