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131532114 = 23737531597
BaseRepresentation
bin1111101011100…
…00010101010010
3100011111112010210
413311300111102
5232133011424
621015104550
73155001360
oct765602522
9304445123
10131532114
116827902a
1238072156
1321333c6c
141367c630
15b832729
hex7d70552

131532114 has 64 divisors (see below), whose sum is σ = 314793216. Its totient is φ = 35852544.

The previous prime is 131532083. The next prime is 131532127. The reversal of 131532114 is 411235131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81564 + ... + 83160.

It is an arithmetic number, because the mean of its divisors is an integer number (4918644).

Almost surely, 2131532114 is an apocalyptic number.

131532114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131532114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157396608).

131532114 is an abundant number, since it is smaller than the sum of its proper divisors (183261102).

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

131532114 is a wasteful number, since it uses less digits than its factorization.

131532114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699.

The product of its digits is 360, while the sum is 21.

The square root of 131532114 is about 11468.7450926420. The cubic root of 131532114 is about 508.5620316691.

Adding to 131532114 its reverse (411235131), we get a palindrome (542767245).

The spelling of 131532114 in words is "one hundred thirty-one million, five hundred thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 53 74 106 111 159 222 259 318 371 518 742 777 1113 1554 1597 1961 2226 3194 3922 4791 5883 9582 11179 11766 13727 22358 27454 33537 41181 59089 67074 82362 84641 118178 169282 177267 253923 354534 413623 507846 592487 827246 1184974 1240869 1777461 2481738 3131717 3554922 6263434 9395151 18790302 21922019 43844038 65766057 131532114