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131205948 = 22350921481
BaseRepresentation
bin1111101001000…
…00101100111100
3100010212221201120
413310200230330
5232042042243
621004110540
73152142426
oct764405474
9303787646
10131205948
1168075a75
1237b35450
132124b673
14135d5816
15b7bac83
hex7d20b3c

131205948 has 24 divisors (see below), whose sum is σ = 306762960. Its totient is φ = 43647360.

The previous prime is 131205929. The next prime is 131205979. The reversal of 131205948 is 849502131.

131205948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4633 + ... + 16848.

It is an arithmetic number, because the mean of its divisors is an integer number (12781790).

Almost surely, 2131205948 is an apocalyptic number.

It is an amenable number.

131205948 is an abundant number, since it is smaller than the sum of its proper divisors (175557012).

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

131205948 is a wasteful number, since it uses less digits than its factorization.

131205948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21997 (or 21995 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 131205948 is about 11454.5164891409. The cubic root of 131205948 is about 508.1413158011.

The spelling of 131205948 in words is "one hundred thirty-one million, two hundred five thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 509 1018 1527 2036 3054 6108 21481 42962 64443 85924 128886 257772 10933829 21867658 32801487 43735316 65602974 131205948