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131831712 = 2534181281
BaseRepresentation
bin1111101101110…
…01011110100000
3100012001202010000
413312321132200
5232222103322
621025340000
73160360005
oct766713640
9305052100
10131831712
1168463131
1238197600
132140a43c
14137198ac
15b8913ac
hex7db97a0

131831712 has 120 divisors (see below), whose sum is σ = 391242852. Its totient is φ = 43545600.

The previous prime is 131831681. The next prime is 131831717. The reversal of 131831712 is 217138131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 123743376 + 8088336 = 11124^2 + 2844^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131831717) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 469012 + ... + 469292.

Almost surely, 2131831712 is an apocalyptic number.

131831712 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 131831712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195621426).

131831712 is an abundant number, since it is smaller than the sum of its proper divisors (259411140).

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

131831712 is a wasteful number, since it uses less digits than its factorization.

131831712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 467 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 131831712 is about 11481.7991621522. The cubic root of 131831712 is about 508.9478655321.

Adding to 131831712 its reverse (217138131), we get a palindrome (348969843).

The spelling of 131831712 in words is "one hundred thirty-one million, eight hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 181 216 281 288 324 362 432 543 562 648 724 843 864 1086 1124 1296 1448 1629 1686 2172 2248 2529 2592 2896 3258 3372 4344 4496 4887 5058 5792 6516 6744 7587 8688 8992 9774 10116 13032 13488 14661 15174 17376 19548 20232 22761 26064 26976 29322 30348 39096 40464 45522 50861 52128 58644 60696 78192 80928 91044 101722 117288 121392 152583 156384 182088 203444 234576 242784 305166 364176 406888 457749 469152 610332 728352 813776 915498 1220664 1373247 1627552 1830996 2441328 2746494 3661992 4119741 4882656 5492988 7323984 8239482 10985976 14647968 16478964 21971952 32957928 43943904 65915856 131831712