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102081175316679 = 31319753777247069
BaseRepresentation
bin10111001101011110100000…
…001100010110100011000111
3111101102212100121211201122010
4113031132200030112203013
5101334444221340113204
61001035240004305303
730334056454354206
oct2715364014264307
9441385317751563
10102081175316679
112a587424240939
12b5480230a2233
1344c62a1173580
141b2ca8058323d
15bc057402cd89
hex5cd7a03168c7

102081175316679 has 32 divisors (see below), whose sum is σ = 147325484940480. Its totient is φ = 62498890524672.

The previous prime is 102081175316677. The next prime is 102081175316711. The reversal of 102081175316679 is 976613571180201.

It is not a de Polignac number, because 102081175316679 - 21 = 102081175316677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102081175316677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413045157 + ... + 413292225.

It is an arithmetic number, because the mean of its divisors is an integer number (4603921404390).

Almost surely, 2102081175316679 is an apocalyptic number.

102081175316679 is a deficient number, since it is larger than the sum of its proper divisors (45244309623801).

102081175316679 is a wasteful number, since it uses less digits than its factorization.

102081175316679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301059.

The product of its (nonzero) digits is 3810240, while the sum is 57.

The spelling of 102081175316679 in words is "one hundred two trillion, eighty-one billion, one hundred seventy-five million, three hundred sixteen thousand, six hundred seventy-nine".

Divisors: 1 3 13 39 197 591 2561 7683 53777 161331 247069 699101 741207 2097303 3211897 9635691 10594069 31782207 48672593 137722897 146017779 413168691 632743709 1898231127 13286629613 39859888839 172726184969 518178554907 2617466033761 7852398101283 34027058438893 102081175316679