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120251131 = 71121367163
BaseRepresentation
bin1110010101011…
…10001011111011
322101021101112121
413022232023323
5221241014011
615533222111
72660055250
oct712561373
9271241477
10120251131
1161973500
1234331937
131bbb4320
1411d83427
15a854e71
hex72ae2fb

120251131 has 48 divisors (see below), whose sum is σ = 166120192. Its totient is φ = 84680640.

The previous prime is 120251119. The next prime is 120251141. The reversal of 120251131 is 131152021.

It is not a de Polignac number, because 120251131 - 213 = 120242939 is a prime.

It is a super-2 number, since 2×1202511312 = 28920669013558322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120251141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737656 + ... + 737818.

Almost surely, 2120251131 is an apocalyptic number.

120251131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120251131 is a deficient number, since it is larger than the sum of its proper divisors (45869061).

120251131 is a wasteful number, since it uses less digits than its factorization.

120251131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 120251131 is about 10965.9076687705. The cubic root of 120251131 is about 493.5862541780.

The spelling of 120251131 in words is "one hundred twenty million, two hundred fifty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 13 67 77 91 121 143 163 469 737 847 871 1001 1141 1573 1793 2119 5159 6097 8107 9581 10921 11011 12551 14833 19723 23309 56749 67067 76447 105391 120131 138061 141973 163163 256399 737737 840917 993811 1321441 1561703 1794793 9250087 10931921 17178733 120251131