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120163131 = 32112275347
BaseRepresentation
bin1110010100110…
…00101100111011
322101002220211100
413022120230323
5221230210011
615531302443
72656240554
oct712305473
9271086740
10120163131
1161913380
12342aaa23
131bb8325a
1411d5d32b
15a838d56
hex7298b3b

120163131 has 24 divisors (see below), whose sum is σ = 190217664. Its totient is φ = 72491760.

The previous prime is 120163103. The next prime is 120163139. The reversal of 120163131 is 131361021.

120163131 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 631 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-120163131 is a prime.

It is a super-2 number, since 2×1201631312 = 28878356103446322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120163139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19800 + ... + 25146.

It is an arithmetic number, because the mean of its divisors is an integer number (7925736).

Almost surely, 2120163131 is an apocalyptic number.

120163131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120163131 is a deficient number, since it is larger than the sum of its proper divisors (70054533).

120163131 is a wasteful number, since it uses less digits than its factorization.

120163131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 120163131 is about 10961.8944986713. The cubic root of 120163131 is about 493.4658223514.

The spelling of 120163131 in words is "one hundred twenty million, one hundred sixty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 227 681 2043 2497 5347 7491 16041 22473 48123 58817 176451 529353 1213769 3641307 10923921 13351459 40054377 120163131