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131231110032 = 243211194360417
BaseRepresentation
bin111101000110111111…
…0111101001110010000
3110112201201111010002200
41322031332331032100
54122230131010112
6140141534043200
712324013013301
oct1721576751620
9415651433080
10131231110032
11507225a4340
1221525049500
13c4b4c6c2c9
1464ccbb67a8
153630e96cdc
hex1e8dfbd390

131231110032 has 120 divisors (see below), whose sum is σ = 421739628960. Its totient is φ = 37673994240.

The previous prime is 131231109983. The next prime is 131231110061. The reversal of 131231110032 is 230011132131.

131231110032 is a `hidden beast` number, since 1 + 312 + 311 + 10 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131231109987 and 131231110014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2150113 + ... + 2210304.

It is an arithmetic number, because the mean of its divisors is an integer number (3514496908).

Almost surely, 2131231110032 is an apocalyptic number.

131231110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131231110032 is an abundant number, since it is smaller than the sum of its proper divisors (290508518928).

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

131231110032 is a wasteful number, since it uses less digits than its factorization.

131231110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4360461 (or 4360452 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131231110032 its reverse (230011132131), we get a palindrome (361242242163).

The spelling of 131231110032 in words is "one hundred thirty-one billion, two hundred thirty-one million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 4360417 8720834 13081251 17441668 26162502 34883336 39243753 47964587 52325004 69766672 78487506 82847923 95929174 104650008 143893761 156975012 165695846 191858348 209300016 248543769 287787522 313950024 331391692 383716696 431681283 497087538 575575044 627900048 662783384 745631307 767433392 863362566 911327153 994175076 1151150088 1325566768 1491262614 1726725132 1822654306 1988350152 2302300176 2733981459 2982525228 3453450264 3645308612 3976700304 5467962918 5965050456 6906900528 7290617224 8201944377 10935925836 11930100912 14581234448 16403888754 21871851672 32807777508 43743703344 65615555016 131231110032