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131349294 = 23229318117
BaseRepresentation
bin1111101010000…
…11101100101110
3100011011020100200
413311003230232
5232111134134
621011134330
73153310356
oct765035456
9304136320
10131349294
116816373a
1237ba43a6
132129b99b
1413631b66
15b7e8499
hex7d43b2e

131349294 has 48 divisors (see below), whose sum is σ = 303937920. Its totient is φ = 40904640.

The previous prime is 131349289. The next prime is 131349307. The reversal of 131349294 is 492943131.

It is a congruent number.

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, 12124 + ... + 20240.

It is an arithmetic number, because the mean of its divisors is an integer number (6332040).

Almost surely, 2131349294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131349294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151968960).

131349294 is an abundant number, since it is smaller than the sum of its proper divisors (172588626).

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

131349294 is a wasteful number, since it uses less digits than its factorization.

131349294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8185 (or 8182 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 131349294 is about 11460.7719635285. The cubic root of 131349294 is about 508.3263011001.

The spelling of 131349294 in words is "one hundred thirty-one million, three hundred forty-nine thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2697 5394 8091 8117 16182 16234 24351 48702 73053 146106 235393 251627 470786 503254 706179 754881 1412358 1509762 2118537 2264643 4237074 4529286 7297183 14594366 21891549 43783098 65674647 131349294