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131304221232 = 24323376747977
BaseRepresentation
bin111101001001001010…
…1110110101000110000
3110112220211001112210220
41322102111312220300
54122402340034412
6140153105053040
712325561315422
oct1722225665060
9415824045726
10131304221232
115075a89a918
1221545627180
13c4c7159c82
1464d87a8812
1536375d968c
hex1e92576a30

131304221232 has 160 divisors (see below), whose sum is σ = 368950052352. Its totient is φ = 40124823552.

The previous prime is 131304221231. The next prime is 131304221249. The reversal of 131304221232 is 232122403131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131304221231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2712828 + ... + 2760804.

Almost surely, 2131304221232 is an apocalyptic number.

131304221232 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 131304221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184475026176).

131304221232 is an abundant number, since it is smaller than the sum of its proper divisors (237645831120).

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

131304221232 is a wasteful number, since it uses less digits than its factorization.

131304221232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48115 (or 48109 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131304221232 its reverse (232122403131), we get a palindrome (363426624363).

The spelling of 131304221232 in words is "one hundred thirty-one billion, three hundred four million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 37 46 48 67 69 74 92 111 134 138 148 184 201 222 268 276 296 368 402 444 536 552 592 804 851 888 1072 1104 1541 1608 1702 1776 2479 2553 3082 3216 3404 4623 4958 5106 6164 6808 7437 9246 9916 10212 12328 13616 14874 18492 19832 20424 24656 29748 36984 39664 40848 47977 57017 59496 73968 95954 114034 118992 143931 171051 191908 228068 287862 342102 383816 456136 575724 684204 767632 912272 1103471 1151448 1368408 1775149 2206942 2302896 2736816 3214459 3310413 3550298 4413884 5325447 6428918 6620826 7100596 8827768 9643377 10650894 12857836 13241652 14201192 17655536 19286754 21301788 25715672 26483304 28402384 38573508 40828427 42603576 51431344 52966608 73932557 77147016 81656854 85207152 118934983 122485281 147865114 154294032 163313708 221797671 237869966 244970562 295730228 326627416 356804949 443595342 475739932 489941124 591460456 653254832 713609898 887190684 951479864 979882248 1182920912 1427219796 1774381368 1902959728 1959764496 2735504609 2854439592 3548762736 5471009218 5708879184 8206513827 10942018436 16413027654 21884036872 32826055308 43768073744 65652110616 131304221232