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120746107145 = 51715727413301
BaseRepresentation
bin111000001110100000…
…1110110000100001001
3102112200000002210002102
41300131001312010021
53434242000412040
6131245304043145
711503125655616
oct1603501660411
9375600083072
10120746107145
11472320364a4
121b4997634b5
13b50394aca1
145bb648350d
15321a734515
hex1c1d076109

120746107145 has 32 divisors (see below), whose sum is σ = 154498889376. Its totient is φ = 90275328000.

The previous prime is 120746107093. The next prime is 120746107147. The reversal of 120746107145 is 541701647021.

It can be written as a sum of positive squares in 16 ways, for example, as 48257544976 + 72488562169 = 219676^2 + 269237^2 .

It is not a de Polignac number, because 120746107145 - 210 = 120746106121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120746107099 and 120746107108.

It is not an unprimeable number, because it can be changed into a prime (120746107147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36576995 + ... + 36580295.

It is an arithmetic number, because the mean of its divisors is an integer number (4828090293).

Almost surely, 2120746107145 is an apocalyptic number.

It is an amenable number.

120746107145 is a deficient number, since it is larger than the sum of its proper divisors (33752782231).

120746107145 is a wasteful number, since it uses less digits than its factorization.

120746107145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6221.

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 120746107145 in words is "one hundred twenty billion, seven hundred forty-six million, one hundred seven thousand, one hundred forty-five".

Divisors: 1 5 17 85 157 785 2669 2741 3301 13345 13705 16505 46597 56117 232985 280585 430337 518257 2151685 2591285 7315729 8810369 9048041 36578645 44051845 45240205 153816697 769083485 1420542437 7102712185 24149221429 120746107145