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102147425721 = 3211293799289
BaseRepresentation
bin101111100100001110…
…1100000010110111001
3100202122211101212112200
41133020131200112321
53133144220110341
6114531553500413
710244210535615
oct1371035402671
9322584355480
10102147425721
113a358616900
1217968b71709
13982b694053
144d30334345
1529cca1ddb6
hex17c87605b9

102147425721 has 18 divisors (see below), whose sum is σ = 162178972410. Its totient is φ = 61907530080.

The previous prime is 102147425713. The next prime is 102147425749. The reversal of 102147425721 is 127524741201.

102147425721 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 47 + 42 + 572 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102147356025 + 69696 = 319605^2 + 264^2 .

It is not a de Polignac number, because 102147425721 - 23 = 102147425713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102147425771) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46898556 + ... + 46900733.

Almost surely, 2102147425721 is an apocalyptic number.

102147425721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102147425721 is a deficient number, since it is larger than the sum of its proper divisors (60031546689).

102147425721 is a wasteful number, since it uses less digits than its factorization.

102147425721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93799317 (or 93799303 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 102147425721 in words is "one hundred two billion, one hundred forty-seven million, four hundred twenty-five thousand, seven hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 93799289 281397867 844193601 1031792179 3095376537 9286129611 11349713969 34049141907 102147425721