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131113331320 = 23543531579161
BaseRepresentation
bin111101000011011110…
…1101010101001111000
3110112102111212100002011
41322012331222221320
54122010003100240
6140122125415304
712321052633156
oct1720675525170
9415374770064
10131113331320
115067206a464
12214b170a534
13c49674246a
1464bb2b83d6
15362597e6ea
hex1e86f6aa78

131113331320 has 128 divisors (see below), whose sum is σ = 309553928640. Its totient is φ = 49933578240.

The previous prime is 131113331303. The next prime is 131113331347. The reversal of 131113331320 is 23133311131.

It is a junction number, because it is equal to n+sod(n) for n = 131113331291 and 131113331300.

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, 14307540 + ... + 14316700.

Almost surely, 2131113331320 is an apocalyptic number.

131113331320 is a gapful number since it is divisible by the number (10) 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 131113331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154776964320).

131113331320 is an abundant number, since it is smaller than the sum of its proper divisors (178440597320).

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

131113331320 is a wasteful number, since it uses less digits than its factorization.

131113331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 131113331320 its reverse (23133311131), we get a palindrome (154246642451).

The spelling of 131113331320 in words is "one hundred thirty-one billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 53 86 106 157 172 212 215 265 314 344 424 430 530 628 785 860 1060 1256 1570 1720 2120 2279 3140 4558 6280 6751 8321 9116 9161 11395 13502 16642 18232 18322 22790 27004 33284 33755 36644 41605 45580 45805 54008 66568 67510 73288 83210 91160 91610 135020 166420 183220 270040 332840 357803 366440 393923 485533 715606 787846 971066 1431212 1438277 1575692 1789015 1942132 1969615 2427665 2862424 2876554 3151384 3578030 3884264 3939230 4855330 5753108 7156060 7191385 7878460 9710660 11506216 14312120 14382770 15756920 19421320 20877919 28765540 41755838 57531080 61845911 76228681 83511676 104389595 123691822 152457362 167023352 208779190 247383644 304914724 309229555 381143405 417558380 494767288 609829448 618459110 762286810 835116760 1236918220 1524573620 2473836440 3049147240 3277833283 6555666566 13111333132 16389166415 26222666264 32778332830 65556665660 131113331320