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116842131 = 32729312063
BaseRepresentation
bin1101111011011…
…01111010010011
322010212012021100
412331231322103
5214402422011
615332155443
72616066420
oct675557223
9263765240
10116842131
115aa5524a
1233168b83
131b28c773
1411736d47
15a3ced56
hex6f6de93

116842131 has 48 divisors (see below), whose sum is σ = 206069760. Its totient is φ = 62354880.

The previous prime is 116842129. The next prime is 116842147. The reversal of 116842131 is 131248611.

116842131 = 3212 + 3222 + ... + 7262.

It is a happy number.

It is not a de Polignac number, because 116842131 - 21 = 116842129 is a prime.

It is a super-2 number, since 2×1168421312 = 27304167153242322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116842095 and 116842104.

It is not an unprimeable number, because it can be changed into a prime (116842111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55606 + ... + 57668.

It is an arithmetic number, because the mean of its divisors is an integer number (4293120).

Almost surely, 2116842131 is an apocalyptic number.

116842131 is a deficient number, since it is larger than the sum of its proper divisors (89227629).

116842131 is a wasteful number, since it uses less digits than its factorization.

116842131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2133 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 116842131 is about 10809.3538659811. The cubic root of 116842131 is about 488.8772447085.

The spelling of 116842131 in words is "one hundred sixteen million, eight hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 29 31 63 87 93 203 217 261 279 609 651 899 1827 1953 2063 2697 6189 6293 8091 14441 18567 18879 43323 56637 59827 63953 129969 179481 191859 418789 447671 538443 575577 1256367 1343013 1854637 3769101 4029039 5563911 12982459 16691733 38947377 116842131