Search a number
-
+
131321311003224 = 233213723911556781
BaseRepresentation
bin11101110110111110100000…
…000110000000001001011000
3122012222012020221202212120200
4131312332200012000021120
5114203032021104100344
61143144102154222200
736442436336005656
oct3566764006001130
9565865227685520
10131321311003224
1138930067581581
121288ab49424960
1358377148455b4
14245ddb1bb5dd6
15102ae7e3a0069
hex776fa0180258

131321311003224 has 96 divisors (see below), whose sum is σ = 358273582561440. Its totient is φ = 43452358387200.

The previous prime is 131321311003199. The next prime is 131321311003249. The reversal of 131321311003224 is 422300113123131.

131321311003224 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 21 + 311 + 0 + 0 + 322 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (131321311003199) and next prime (131321311003249).

It is a congruent number.

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, 235579714 + ... + 236136494.

It is an arithmetic number, because the mean of its divisors is an integer number (3732016485015).

Almost surely, 2131321311003224 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 131321311003224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179136791280720).

131321311003224 is an abundant number, since it is smaller than the sum of its proper divisors (226952271558216).

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

131321311003224 is a wasteful number, since it uses less digits than its factorization.

131321311003224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580841 (or 580834 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 131321311003224 its reverse (422300113123131), we get a palindrome (553621424126355).

The spelling of 131321311003224 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, three hundred eleven million, three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 23911 47822 71733 95644 143466 191288 215199 286932 430398 556781 573864 860796 1113562 1670343 1721592 2227124 3275807 3340686 4454248 5011029 6551614 6681372 9827421 10022058 13103228 13362744 19654842 20044116 26206456 29482263 39309684 40088232 58964526 76278997 78619368 117929052 152557994 228836991 235858104 305115988 457673982 610231976 686510973 915347964 1373021946 1830695928 2746043892 5492087784 13313190491 26626380982 39939571473 53252761964 79879142946 106505523928 119818714419 159758285892 239637428838 319516571784 479274857676 958549715352 1823907097267 3647814194534 5471721291801 7295628389068 10943442583602 14591256778136 16415163875403 21886885167204 32830327750806 43773770334408 65660655501612 131321311003224