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120764708361 = 32112110895049
BaseRepresentation
bin111000001111000100…
…0110011011000001001
3102112201022002211011100
41300132020303120021
53434311231131421
6131251210452013
711503443040563
oct1603610633011
9375638084140
10120764708361
1147241590900
121b4a3a34009
13b50776181b
145bb8b26333
15321c1aac26
hex1c1e233609

120764708361 has 18 divisors (see below), whose sum is σ = 191737541450. Its totient is φ = 73190731680.

The previous prime is 120764708347. The next prime is 120764708371. The reversal of 120764708361 is 163807467021.

It can be written as a sum of positive squares in only one way, i.e., 86124053961 + 34640654400 = 293469^2 + 186120^2 .

It is not a de Polignac number, because 120764708361 - 26 = 120764708297 is a prime.

It is a super-2 number, since 2×1207647083612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120764708371) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55446436 + ... + 55448613.

Almost surely, 2120764708361 is an apocalyptic number.

120764708361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120764708361 is a deficient number, since it is larger than the sum of its proper divisors (70972833089).

120764708361 is a wasteful number, since it uses less digits than its factorization.

120764708361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110895077 (or 110895063 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 120764708361 in words is "one hundred twenty billion, seven hundred sixty-four million, seven hundred eight thousand, three hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 110895049 332685147 998055441 1219845539 3659536617 10978609851 13418300929 40254902787 120764708361