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120371876705 = 5375312276581
BaseRepresentation
bin111000000011010111…
…0010001001101100001
3102111200220220220102202
41300012232101031201
53433010200023310
6131144215022545
711460633033023
oct1600656211541
9374626826382
10120371876705
114705a871643
121b3b436aa55
13b47425cc62
145b7c8aa013
1531e79613a5
hex1c06b91361

120371876705 has 16 divisors (see below), whose sum is σ = 151149277584. Its totient is φ = 91927031040.

The previous prime is 120371876623. The next prime is 120371876743. The reversal of 120371876705 is 507678173021.

It can be written as a sum of positive squares in 8 ways, for example, as 17100269824 + 103271606881 = 130768^2 + 321359^2 .

It is a de Polignac number, because none of the positive numbers 2k-120371876705 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 120371876705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6128486 + ... + 6148095.

It is an arithmetic number, because the mean of its divisors is an integer number (9446829849).

Almost surely, 2120371876705 is an apocalyptic number.

It is an amenable number.

120371876705 is a deficient number, since it is larger than the sum of its proper divisors (30777400879).

120371876705 is a wasteful number, since it uses less digits than its factorization.

120371876705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12276676.

The product of its (nonzero) digits is 493920, while the sum is 47.

The spelling of 120371876705 in words is "one hundred twenty billion, three hundred seventy-one million, eight hundred seventy-six thousand, seven hundred five".

Divisors: 1 5 37 53 185 265 1961 9805 12276581 61382905 454233497 650658793 2271167485 3253293965 24074375341 120371876705