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120993934131 = 32717112972861
BaseRepresentation
bin111000010101111001…
…1001110101100110011
3102120022021102200210200
41300223303032230303
53440243421343011
6131330035530243
711512225320360
oct1605363165463
9376267380720
10120993934131
1147349a15594
121b548759983
13b5430ac585
145bdb355467
153232389856
hex1c2bcceb33

120993934131 has 24 divisors (see below), whose sum is σ = 211485197664. Its totient is φ = 65072367360.

The previous prime is 120993934121. The next prime is 120993934163. The reversal of 120993934131 is 131439399021.

It is a happy number.

120993934131 is a `hidden beast` number, since 120 + 9 + 9 + 393 + 4 + 131 = 666.

It is not a de Polignac number, because 120993934131 - 210 = 120993933107 is a prime.

It is a super-2 number, since 2×1209939341312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120993934111) 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, 56485360 + ... + 56487501.

It is an arithmetic number, because the mean of its divisors is an integer number (8811883236).

Almost surely, 2120993934131 is an apocalyptic number.

120993934131 is a deficient number, since it is larger than the sum of its proper divisors (90491263533).

120993934131 is a wasteful number, since it uses less digits than its factorization.

120993934131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112972891 (or 112972888 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 120993934131 in words is "one hundred twenty billion, nine hundred ninety-three million, nine hundred thirty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 112972861 338918583 790810027 1016755749 1920538637 2372430081 5761615911 7117290243 13443770459 17284847733 40331311377 120993934131