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102314421002431 = 11101277332462773
BaseRepresentation
bin10111010000110111101110…
…101110000010000010111111
3111102021011101220202020100001
4113100313232232002002333
5101402304413234034211
61001334332433015131
730356654506105561
oct2720675656020277
9442234356666301
10102314421002431
112a667336362890
12b5852786b44a7
134512293100b41
141b3a089b8b331
15bc6676000ac1
hex5d0deeb820bf

102314421002431 has 16 divisors (see below), whose sum is σ = 113127773034528. Its totient is φ = 91759725072000.

The previous prime is 102314421002429. The next prime is 102314421002441. The reversal of 102314421002431 is 134200124413201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102314421002431 - 21 = 102314421002429 is a prime.

It is a super-2 number, since 2×1023144210024312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102314421002431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102314421002441) 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, 165923640 + ... + 166539133.

It is an arithmetic number, because the mean of its divisors is an integer number (7070485814658).

Almost surely, 2102314421002431 is an apocalyptic number.

102314421002431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102314421002431 is a deficient number, since it is larger than the sum of its proper divisors (10813352032097).

102314421002431 is a wasteful number, since it uses less digits than its factorization.

102314421002431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332463162.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 102314421002431 its reverse (134200124413201), we get a palindrome (236514545415632).

The spelling of 102314421002431 in words is "one hundred two trillion, three hundred fourteen billion, four hundred twenty-one million, two thousand, four hundred thirty-one".

Divisors: 1 11 101 277 1111 3047 27977 307747 332462773 3657090503 33578740073 92092188121 369366140803 1013014069331 9301311000221 102314421002431