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131231331 = 32711409463
BaseRepresentation
bin1111101001001…
…10111001100011
3100010221020112200
413310212321203
5232043400311
621004424243
73152306430
oct764467143
9303836480
10131231331
1168093050
1237b48083
132125a09a
1413600b87
15b7c3556
hex7d26e63

131231331 has 48 divisors (see below), whose sum is σ = 237419520. Its totient is φ = 67858560.

The previous prime is 131231323. The next prime is 131231363. The reversal of 131231331 is 133132131.

It is a happy number.

It is not a de Polignac number, because 131231331 - 23 = 131231323 is a prime.

It is a super-2 number, since 2×1312313312 = 34443324472063122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131231371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283206 + ... + 283668.

It is an arithmetic number, because the mean of its divisors is an integer number (4946240).

Almost surely, 2131231331 is an apocalyptic number.

131231331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131231331 is a deficient number, since it is larger than the sum of its proper divisors (106188189).

131231331 is a wasteful number, since it uses less digits than its factorization.

131231331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 131231331 is about 11455.6244264553. The cubic root of 131231331 is about 508.1740818953.

Adding to 131231331 its reverse (133132131), we get a palindrome (264363462).

The spelling of 131231331 in words is "one hundred thirty-one million, two hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 409 463 693 1227 1389 2863 3241 3681 4167 4499 5093 8589 9723 13497 15279 25767 29169 31493 35651 40491 45837 94479 106953 189367 283437 320859 568101 1325569 1704303 2083037 3976707 6249111 11930121 14581259 18747333 43743777 131231331