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131337948 = 22373121627
BaseRepresentation
bin1111101010000…
…00111011011100
3100011010122210110
413311000323130
5232110303243
621011010020
73153232320
oct765007334
9304118713
10131337948
1168156165
1237b99910
1321296781
141362b980
15b7e4e33
hex7d40edc

131337948 has 72 divisors (see below), whose sum is σ = 362119296. Its totient is φ = 36292320.

The previous prime is 131337931. The next prime is 131337991. The reversal of 131337948 is 849733131.

It is a happy number.

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, 79911 + ... + 81537.

Almost surely, 2131337948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131337948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181059648).

131337948 is an abundant number, since it is smaller than the sum of its proper divisors (230781348).

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

131337948 is a wasteful number, since it uses less digits than its factorization.

131337948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1670 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 131337948 is about 11460.2769600041. The cubic root of 131337948 is about 508.3116642081.

The spelling of 131337948 in words is "one hundred thirty-one million, three hundred thirty-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 961 1302 1627 1922 2604 2883 3254 3844 4881 5766 6508 6727 9762 11389 11532 13454 19524 20181 22778 26908 34167 40362 45556 50437 68334 80724 100874 136668 151311 201748 302622 353059 605244 706118 1059177 1412236 1563547 2118354 3127094 4236708 4690641 6254188 9381282 10944829 18762564 21889658 32834487 43779316 65668974 131337948