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120000019985 = 51723357710501
BaseRepresentation
bin110111111000010001…
…1101111111000010001
3102110202000012121220122
41233300203233320101
53431230001114420
6131043252520025
711445466224446
oct1576043577021
9373660177818
10120000019985
114698997913a
121b30b920015
13b4151c34b1
145b4534d9cd
1531c4eab725
hex1bf08efe11

120000019985 has 32 divisors (see below), whose sum is σ = 153404982432. Its totient is φ = 89800704000.

The previous prime is 120000019973. The next prime is 120000019999. The reversal of 120000019985 is 589910000021.

It can be written as a sum of positive squares in 16 ways, for example, as 6220634641 + 113779385344 = 78871^2 + 337312^2 .

It is not a de Polignac number, because 120000019985 - 26 = 120000019921 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11422235 + ... + 11432735.

It is an arithmetic number, because the mean of its divisors is an integer number (4793905701).

Almost surely, 2120000019985 is an apocalyptic number.

It is an amenable number.

120000019985 is a deficient number, since it is larger than the sum of its proper divisors (33404962447).

120000019985 is a wasteful number, since it uses less digits than its factorization.

120000019985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333.

The product of its (nonzero) digits is 6480, while the sum is 35.

The spelling of 120000019985 in words is "one hundred twenty billion, nineteen thousand, nine hundred eighty-five".

Divisors: 1 5 17 85 233 577 1165 2885 3961 9809 10501 19805 49045 52505 134441 178517 672205 892585 2285497 2446733 6059077 11427485 12233665 30295385 41594461 103004309 207972305 515021545 1411764941 7058824705 24000003997 120000019985