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120086117 = 1131377757
BaseRepresentation
bin1110010100001…
…01111001100101
322100222000011222
413022011321211
5221220223432
615525510125
72655500204
oct712057145
9270860158
10120086117
1161870528
1234272345
131bb57198
1411d3d23b
15a821112
hex7285e65

120086117 has 8 divisors (see below), whose sum is σ = 122048856. Its totient is φ = 118139392.

The previous prime is 120086111. The next prime is 120086149. The reversal of 120086117 is 711680021.

It can be written as a sum of positive squares in 4 ways, for example, as 9541921 + 110544196 = 3089^2 + 10514^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 120086117 - 24 = 120086101 is a prime.

It is a super-2 number, since 2×1200861172 = 28841350992275378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120086111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11603 + ... + 19359.

It is an arithmetic number, because the mean of its divisors is an integer number (15256107).

Almost surely, 2120086117 is an apocalyptic number.

It is an amenable number.

120086117 is a deficient number, since it is larger than the sum of its proper divisors (1962739).

120086117 is a wasteful number, since it uses less digits than its factorization.

120086117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8007.

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 120086117 is about 10958.3811304408. The cubic root of 120086117 is about 493.3603770886.

The spelling of 120086117 in words is "one hundred twenty million, eighty-six thousand, one hundred seventeen".

Divisors: 1 113 137 7757 15481 876541 1062709 120086117