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120379370085 = 32513215828977
BaseRepresentation
bin111000000011100101…
…0110110101001100101
3102111201110000121102100
41300013022312221211
53433014104320320
6131145043402313
711461053522432
oct1600712665145
9374643017370
10120379370085
114706401a517
121b3b6983399
13b475984900
145b7d89ab89
1531e8441790
hex1c072b6a65

120379370085 has 36 divisors (see below), whose sum is σ = 225942831972. Its totient is φ = 59263686144.

The previous prime is 120379370053. The next prime is 120379370143. The reversal of 120379370085 is 580073973021.

It is a happy number.

120379370085 is a `hidden beast` number, since 1 + 203 + 79 + 370 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 52513388964 + 67865981121 = 229158^2 + 260511^2 .

It is not a de Polignac number, because 120379370085 - 25 = 120379370053 is a prime.

It is a super-3 number, since 3×1203793700853 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 120379370085.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7906884 + ... + 7922093.

It is an arithmetic number, because the mean of its divisors is an integer number (6276189777).

Almost surely, 2120379370085 is an apocalyptic number.

120379370085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

120379370085 is a deficient number, since it is larger than the sum of its proper divisors (105563461887).

120379370085 is a wasteful number, since it uses less digits than its factorization.

120379370085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15829014 (or 15828998 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 120379370085 in words is "one hundred twenty billion, three hundred seventy-nine million, three hundred seventy thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 15828977 47486931 79144885 142460793 205776701 237434655 617330103 712303965 1028883505 1851990309 2675097113 3086650515 8025291339 9259951545 13375485565 24075874017 40126456695 120379370085