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31183107514 = 21317231592269
BaseRepresentation
bin11101000010101010…
…000111010110111010
32222111012111222202221
4131002222013112322
51002330333420024
622154134114254
72152514016616
oct350252072672
988435458687
1031183107514
1112252062239
1260631ab98a
132c2c523710
14171b61c346
15c279293e4
hex742a875ba

31183107514 has 96 divisors (see below), whose sum is σ = 56197209600. Its totient is φ = 12880788480.

The previous prime is 31183107491. The next prime is 31183107563. The reversal of 31183107514 is 41570138113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 31183107514.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13741972 + ... + 13744240.

It is an arithmetic number, because the mean of its divisors is an integer number (585387600).

Almost surely, 231183107514 is an apocalyptic number.

31183107514 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

31183107514 is a deficient number, since it is larger than the sum of its proper divisors (25014102086).

31183107514 is a wasteful number, since it uses less digits than its factorization.

31183107514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

It can be divided in two parts, 3118310 and 7514, that added together give a square (3125824 = 17682).

The spelling of 31183107514 in words is "thirty-one billion, one hundred eighty-three million, one hundred seven thousand, five hundred fourteen".

Divisors: 1 2 13 17 26 31 34 59 62 118 221 289 403 442 527 578 767 806 1003 1054 1534 1829 2006 2269 3658 3757 4538 6851 7514 8959 13039 13702 17051 17918 23777 26078 29497 31093 34102 38573 47554 58994 62186 70339 77146 116467 133871 140678 221663 232934 267742 404209 443326 501449 528581 655741 808418 914407 1002898 1057162 1195763 1311482 1740323 1828814 2275807 2391526 3480646 4150001 4551614 6871553 8300002 8524633 13743106 15544919 17049266 20327971 29585491 31089838 38688719 40655942 53950013 59170982 70550017 77377438 107900026 141100034 264263623 502953347 528527246 917150221 1005906694 1199350289 1834300442 2398700578 15591553757 31183107514