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116137901 = 11591491201
BaseRepresentation
bin1101110110000…
…01111110101101
322002112102020202
412323001332231
5214212403101
615305123245
72610104315
oct673017655
9262472222
10116137901
115a614140
1232a89525
131b0a4069
14115d2445
15a2e136b
hex6ec1fad

116137901 has 16 divisors (see below), whose sum is σ = 129816000. Its totient is φ = 103008000.

The previous prime is 116137849. The next prime is 116137921. The reversal of 116137901 is 109731611.

It is a cyclic number.

It is not a de Polignac number, because 116137901 - 222 = 111943597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116137921) 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 15 ways as a sum of consecutive naturals, for example, 96101 + ... + 97301.

It is an arithmetic number, because the mean of its divisors is an integer number (8113500).

Almost surely, 2116137901 is an apocalyptic number.

116137901 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116137901 is the 4820-th centered decagonal number.

It is an amenable number.

116137901 is a deficient number, since it is larger than the sum of its proper divisors (13678099).

116137901 is a wasteful number, since it uses less digits than its factorization.

116137901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420.

The product of its (nonzero) digits is 1134, while the sum is 29.

The square root of 116137901 is about 10776.7296059612. The cubic root of 116137901 is about 487.8930790679.

The spelling of 116137901 in words is "one hundred sixteen million, one hundred thirty-seven thousand, nine hundred one".

Divisors: 1 11 59 149 649 1201 1639 8791 13211 70859 96701 178949 779449 1968439 10557991 116137901