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131532132 = 22331477523
BaseRepresentation
bin1111101011100…
…00010101100100
3100011111112011110
413311300111210
5232133012012
621015105020
73155001414
oct765602544
9304445143
10131532132
1168279046
1238072170
1321333c84
141367c644
15b83273c
hex7d70564

131532132 has 48 divisors (see below), whose sum is σ = 323592192. Its totient is φ = 41521440.

The previous prime is 131532131. The next prime is 131532161. The reversal of 131532132 is 231235131.

It is a junction number, because it is equal to n+sod(n) for n = 131532099 and 131532108.

It is not an unprimeable number, because it can be changed into a prime (131532131) 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, 13723 + ... + 21245.

It is an arithmetic number, because the mean of its divisors is an integer number (6741504).

Almost surely, 2131532132 is an apocalyptic number.

131532132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131532132 is an abundant number, since it is smaller than the sum of its proper divisors (192060060).

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

131532132 is a wasteful number, since it uses less digits than its factorization.

131532132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7608 (or 7606 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 131532132 is about 11468.7458773835. The cubic root of 131532132 is about 508.5620548678.

Adding to 131532132 its reverse (231235131), we get a palindrome (362767263).

The spelling of 131532132 in words is "one hundred thirty-one million, five hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 47 62 93 94 124 141 186 188 282 372 564 1457 2914 4371 5828 7523 8742 15046 17484 22569 30092 45138 90276 233213 353581 466426 699639 707162 932852 1060743 1399278 1414324 2121486 2798556 4242972 10961011 21922022 32883033 43844044 65766066 131532132