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131320632 = 2334722477
BaseRepresentation
bin1111101001111…
…00101100111000
3100011002210001010
413310330230320
5232104230012
621010353520
73153130662
oct764745470
9304083033
10131320632
1168144153
1237b8b8a0
132128b921
1413625532
15b7dec3c
hex7d3cb38

131320632 has 48 divisors (see below), whose sum is σ = 335570760. Its totient is φ = 42824896.

The previous prime is 131320621. The next prime is 131320633. The reversal of 131320632 is 236023131.

It is a junction number, because it is equal to n+sod(n) for n = 131320599 and 131320608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131320633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51778 + ... + 54254.

Almost surely, 2131320632 is an apocalyptic number.

131320632 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 131320632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167785380).

131320632 is an abundant number, since it is smaller than the sum of its proper divisors (204250128).

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

131320632 is a wasteful number, since it uses less digits than its factorization.

131320632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 131320632 is about 11459.5214559771. The cubic root of 131320632 is about 508.2893241006.

Adding to 131320632 its reverse (236023131), we get a palindrome (367343763).

It can be divided in two parts, 1313 and 20632, that added together give a triangular number (21945 = T209).

The spelling of 131320632 in words is "one hundred thirty-one million, three hundred twenty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2209 2477 4418 4954 6627 7431 8836 9908 13254 14862 17672 19816 26508 29724 53016 59448 116419 232838 349257 465676 698514 931352 1397028 2794056 5471693 10943386 16415079 21886772 32830158 43773544 65660316 131320632