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131231232 = 293311863
BaseRepresentation
bin1111101001001…
…10111000000000
3100010221020102000
413310212320000
5232043344412
621004424000
73152306226
oct764467000
9303836360
10131231232
1168092a70
1237b48000
132125a022
1413600b16
15b7c34dc
hex7d26e00

131231232 has 160 divisors (see below), whose sum is σ = 424258560. Its totient is φ = 39720960.

The previous prime is 131231213. The next prime is 131231237. The reversal of 131231232 is 232132131.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131231237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151633 + ... + 152495.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2131231232 is an apocalyptic number.

131231232 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 131231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

131231232 is an abundant number, since it is smaller than the sum of its proper divisors (293027328).

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

131231232 is an equidigital number, since it uses as much as digits as its factorization.

131231232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 879 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131231232 is about 11455.6201054330. The cubic root of 131231232 is about 508.1739541076.

Adding to 131231232 its reverse (232132131), we get a palindrome (363363363).

The spelling of 131231232 in words is "one hundred thirty-one million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 512 528 576 594 704 768 792 863 864 1056 1152 1188 1408 1536 1584 1726 1728 2112 2304 2376 2589 2816 3168 3452 3456 4224 4608 4752 5178 5632 6336 6904 6912 7767 8448 9493 9504 10356 12672 13808 13824 15534 16896 18986 19008 20712 23301 25344 27616 28479 31068 37972 38016 41424 46602 50688 55232 56958 62136 75944 76032 82848 85437 93204 110464 113916 124272 151888 152064 165696 170874 186408 220928 227832 248544 256311 303776 331392 341748 372816 441856 455664 497088 512622 607552 662784 683496 745632 911328 994176 1025244 1215104 1325568 1366992 1491264 1822656 1988352 2050488 2430208 2733984 2982528 3645312 3976704 4100976 4860416 5467968 5965056 7290624 8201952 10935936 11930112 14581248 16403904 21871872 32807808 43743744 65615616 131231232