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102164326671 = 31131197506941
BaseRepresentation
bin101111100100101110…
…1111110100100001111
3100202201000012112021210
41133021131332210033
53133213031423141
6114533400025503
710244504306541
oct1371135764417
9322630175253
10102164326671
113a36710a830
1217972762293
139832030a04
144d32693691
1529ce25b916
hex17c977e90f

102164326671 has 32 divisors (see below), whose sum is σ = 154175256576. Its totient is φ = 59616144000.

The previous prime is 102164326669. The next prime is 102164326697. The reversal of 102164326671 is 176623461201.

It is a happy number.

It is not a de Polignac number, because 102164326671 - 21 = 102164326669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102164326601) 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, 51940 + ... + 455001.

It is an arithmetic number, because the mean of its divisors is an integer number (4817976768).

Almost surely, 2102164326671 is an apocalyptic number.

102164326671 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102164326671 is a deficient number, since it is larger than the sum of its proper divisors (52010929905).

102164326671 is a wasteful number, since it uses less digits than its factorization.

102164326671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507183.

The product of its (nonzero) digits is 72576, while the sum is 39.

Adding to 102164326671 its reverse (176623461201), we get a palindrome (278787787872).

The spelling of 102164326671 in words is "one hundred two billion, one hundred sixty-four million, three hundred twenty-six thousand, six hundred seventy-one".

Divisors: 1 3 11 31 33 93 197 341 591 1023 2167 6107 6501 18321 67177 201531 506941 1520823 5576351 15715171 16729053 47145513 99867377 172866881 299602131 518600643 1098541147 3095888687 3295623441 9287666061 34054775557 102164326671