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102640310406 = 2341737269539
BaseRepresentation
bin101111110010111010…
…1101101100010000110
3100210221011212000020000
41133211311231202012
53140201404413111
6115052522022130
710262344146324
oct1374565554206
9323834760200
10102640310406
113a590863417
1217a86047946
1398a98275aa
144d79996d14
152a0ae2dc56
hex17e5d6d886

102640310406 has 40 divisors (see below), whose sum is σ = 243519174360. Its totient is φ = 32200880832.

The previous prime is 102640310369. The next prime is 102640310407. The reversal of 102640310406 is 604013046201.

102640310406 is a `hidden beast` number, since 1 + 0 + 2 + 640 + 3 + 10 + 4 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102640310406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102640310407) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18632016 + ... + 18637523.

It is an arithmetic number, because the mean of its divisors is an integer number (6087979359).

Almost surely, 2102640310406 is an apocalyptic number.

102640310406 is an abundant number, since it is smaller than the sum of its proper divisors (140878863954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102640310406 is a wasteful number, since it uses less digits than its factorization.

102640310406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37269570 (or 37269561 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102640310406 its reverse (604013046201), we get a palindrome (706653356607).

The spelling of 102640310406 in words is "one hundred two billion, six hundred forty million, three hundred ten thousand, four hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 37269539 74539078 111808617 223617234 335425851 633582163 670851702 1006277553 1267164326 1900746489 2012555106 3018832659 3801492978 5702239467 6037665318 11404478934 17106718401 34213436802 51320155203 102640310406