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131320317432 = 233293139715331
BaseRepresentation
bin111101001001101001…
…1010000010111111000
3110112221221100022122110
41322103103100113320
54122421000124212
6140154442052320
712326145165213
oct1722323202770
9415857308573
10131320317432
1150768994167
122154aaaa0a0
13c4ca5a4555
1464da99877a
153638c18a3c
hex1e934d05f8

131320317432 has 128 divisors (see below), whose sum is σ = 351483033600. Its totient is φ = 40794969600.

The previous prime is 131320317413. The next prime is 131320317449. The reversal of 131320317432 is 234713023131.

It is a self number, because there is not a number n which added to its sum of digits gives 131320317432.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8558007 + ... + 8573337.

It is an arithmetic number, because the mean of its divisors is an integer number (2745961200).

Almost surely, 2131320317432 is an apocalyptic number.

131320317432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131320317432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175741516800).

131320317432 is an abundant number, since it is smaller than the sum of its proper divisors (220162716168).

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

131320317432 is a wasteful number, since it uses less digits than its factorization.

131320317432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15797 (or 15793 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 131320317432 in words is "one hundred thirty-one billion, three hundred twenty million, three hundred seventeen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 397 696 744 794 899 1191 1588 1798 2382 2697 3176 3596 4764 5394 7192 9528 10788 11513 12307 15331 21576 23026 24614 30662 34539 36921 45993 46052 49228 61324 69078 73842 91986 92104 98456 122648 138156 147684 183972 276312 295368 356903 367944 444599 475261 713806 889198 950522 1070709 1333797 1425783 1427612 1778396 1901044 2141418 2667594 2851566 2855224 3556792 3802088 4282836 5335188 5703132 6086407 8565672 10670376 11406264 12172814 13782569 18259221 24345628 27565138 36518442 41347707 48691256 55130276 73036884 82695414 110260552 146073768 165390828 176505803 188678617 330781656 353011606 377357234 529517409 566035851 706023212 754714468 1059034818 1132071702 1412046424 1509428936 2118069636 2264143404 4236139272 4528286808 5471679893 10943359786 16415039679 21886719572 32830079358 43773439144 65660158716 131320317432