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131032314 = 23271139203
BaseRepresentation
bin1111100111101…
…10010011111010
3100010120010112200
413303312103322
5232021013224
621000251030
73150520260
oct763662372
9303503480
10131032314
1167a67576
1237a70a76
13211ba61a
141358c430
15b7845c9
hex7cf64fa

131032314 has 48 divisors (see below), whose sum is σ = 327367872. Its totient is φ = 37102464.

The previous prime is 131032301. The next prime is 131032339. The reversal of 131032314 is 413230131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9637 + ... + 18839.

It is an arithmetic number, because the mean of its divisors is an integer number (6820164).

Almost surely, 2131032314 is an apocalyptic number.

131032314 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 131032314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163683936).

131032314 is an abundant number, since it is smaller than the sum of its proper divisors (196335558).

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

131032314 is a wasteful number, since it uses less digits than its factorization.

131032314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9331 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131032314 is about 11446.9346988615. The cubic root of 131032314 is about 507.9170638781.

Adding to 131032314 its reverse (413230131), we get a palindrome (544262445).

The spelling of 131032314 in words is "one hundred thirty-one million, thirty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1582 2034 2373 4746 7119 9203 14238 18406 27609 55218 64421 82827 128842 165654 193263 386526 579789 1039939 1159578 2079878 3119817 6239634 7279573 9359451 14559146 18718902 21838719 43677438 65516157 131032314