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131214310836 = 223761163157103
BaseRepresentation
bin111101000110011111…
…0110111110110110100
3110112200112212121221020
41322030332313312310
54122211330421321
6140140134021140
712323420145120
oct1721476676664
9415615777836
10131214310836
115071406a904
122151b4a77b0
13c4b1639a5b
1464ca882580
15362e7794c6
hex1e8cfb7db4

131214310836 has 96 divisors (see below), whose sum is σ = 357825097728. Its totient is φ = 36648754560.

The previous prime is 131214310819. The next prime is 131214310873. The reversal of 131214310836 is 638013412131.

It is a junction number, because it is equal to n+sod(n) for n = 131214310797 and 131214310806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 756661 + ... + 913763.

It is an arithmetic number, because the mean of its divisors is an integer number (3727344768).

Almost surely, 2131214310836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131214310836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178912548864).

131214310836 is an abundant number, since it is smaller than the sum of its proper divisors (226610786892).

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

131214310836 is a wasteful number, since it uses less digits than its factorization.

131214310836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157341 (or 157339 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Adding to 131214310836 its reverse (638013412131), we get a palindrome (769227722967).

The spelling of 131214310836 in words is "one hundred thirty-one billion, two hundred fourteen million, three hundred ten thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 163 183 244 326 366 427 489 652 732 854 978 1141 1281 1708 1956 2282 2562 3423 4564 5124 6846 9943 13692 19886 29829 39772 59658 69601 119316 139202 157103 208803 278404 314206 417606 471309 628412 835212 942618 1099721 1885236 2199442 3299163 4398884 6598326 9583283 13196652 19166566 25607789 28749849 38333132 51215578 57499698 67082981 76823367 102431156 114999396 134165962 153646734 179254523 201248943 268331924 307293468 358509046 402497886 537763569 717018092 804995772 1075527138 1562075129 2151054276 3124150258 4686225387 6248300516 9372450774 10934525903 18744901548 21869051806 32803577709 43738103612 65607155418 131214310836