Search a number
-
+
32131251234 = 23417191673677
BaseRepresentation
bin11101111011001010…
…111111110000100010
310001221021121200110000
4131323022333300202
51011301100014414
622432204120430
72215146062205
oct357312776042
9101837550400
1032131251234
1112699287695
126288836116
133050aa55c4
1417ab50b93c
15c80cb5b09
hex77b2bfc22

32131251234 has 160 divisors (see below), whose sum is σ = 80747694720. Its totient is φ = 9490079232.

The previous prime is 32131251223. The next prime is 32131251281. The reversal of 32131251234 is 43215213123.

32131251234 is a `hidden beast` number, since 321 + 312 + 5 + 1 + 23 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32131251198 and 32131251207.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8736604 + ... + 8740280.

It is an arithmetic number, because the mean of its divisors is an integer number (504673092).

Almost surely, 232131251234 is an apocalyptic number.

32131251234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32131251234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40373847360).

32131251234 is an abundant number, since it is smaller than the sum of its proper divisors (48616443486).

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

32131251234 is a wasteful number, since it uses less digits than its factorization.

32131251234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3885 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

Adding to 32131251234 its reverse (43215213123), we get a palindrome (75346464357).

The spelling of 32131251234 in words is "thirty-two billion, one hundred thirty-one million, two hundred fifty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 167 171 306 323 334 342 459 501 513 646 918 969 1002 1026 1377 1503 1539 1938 2754 2839 2907 3006 3078 3173 3677 4509 5678 5814 6346 7354 8517 8721 9018 9519 11031 13527 17034 17442 19038 22062 25551 26163 27054 28557 33093 51102 52326 53941 57114 62509 66186 69863 76653 85671 99279 107882 125018 139726 153306 161823 171342 187527 198558 209589 229959 257013 297837 323646 375054 419178 459918 485469 514026 562581 595674 614059 628767 970938 1125162 1187671 1228118 1257534 1456407 1687743 1842177 1886301 2375342 2912814 3375486 3563013 3684354 3772602 4369221 5063229 5526531 5658903 7126026 8738442 10126458 10439003 10689039 11053062 11317806 11667121 16579593 20878006 21378078 23334242 31317009 32067117 33159186 35001363 49738779 62634018 64134234 70002726 93951027 96201351 99477558 105004089 187902054 192402702 198341057 210008178 281853081 315012267 396682114 563706162 595023171 630024534 845559243 945036801 1190046342 1691118486 1785069513 1890073602 3570139026 5355208539 10710417078 16065625617 32131251234