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102123231311 = 67109101913723
BaseRepresentation
bin101111100011100000…
…1001101100001001111
3100202121010212200001102
41133013001031201033
53133122021400221
6114525331133315
710243465100153
oct1370701154117
9322533780042
10102123231311
113a3459a1222
1217960a4423b
13982667272a
144d2b037063
1529ca84030b
hex17c704d84f

102123231311 has 16 divisors (see below), whose sum is σ = 104708630400. Its totient is φ = 99571003488.

The previous prime is 102123231307. The next prime is 102123231319. The reversal of 102123231311 is 113132321201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102123231311 - 22 = 102123231307 is a prime.

It is a super-3 number, since 3×1021232313113 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123231319) 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 15 ways as a sum of consecutive naturals, for example, 7434896 + ... + 7448618.

It is an arithmetic number, because the mean of its divisors is an integer number (6544289400).

Almost surely, 2102123231311 is an apocalyptic number.

102123231311 is a deficient number, since it is larger than the sum of its proper divisors (2585399089).

102123231311 is a wasteful number, since it uses less digits than its factorization.

102123231311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14918.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102123231311 its reverse (113132321201), we get a palindrome (215255552512).

The spelling of 102123231311 in words is "one hundred two billion, one hundred twenty-three million, two hundred thirty-one thousand, three hundred eleven".

Divisors: 1 67 109 1019 7303 13723 68273 111071 919441 1495807 7441757 13983737 100219069 936910379 1524227333 102123231311