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120004124013 = 32191913674233
BaseRepresentation
bin110111111000011001…
…1011001110101101101
3102110202021221010120200
41233300303121311231
53431232023432023
6131043520504113
711445546136524
oct1576063316555
9373667833520
10120004124013
11469912215a4
121b31117b039
13b415ccc507
145b45adb4bb
1531c551c743
hex1bf0cd9d6d

120004124013 has 24 divisors (see below), whose sum is σ = 183417761280. Its totient is φ = 75395240640.

The previous prime is 120004123999. The next prime is 120004124027. The reversal of 120004124013 is 310421400021.

120004124013 is a `hidden beast` number, since 1 + 200 + 0 + 412 + 40 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (120004123999) and next prime (120004124027).

It is not a de Polignac number, because 120004124013 - 24 = 120004123997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120004124813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1804456 + ... + 1869777.

It is an arithmetic number, because the mean of its divisors is an integer number (7642406720).

Almost surely, 2120004124013 is an apocalyptic number.

It is an amenable number.

120004124013 is a deficient number, since it is larger than the sum of its proper divisors (63413637267).

120004124013 is a wasteful number, since it uses less digits than its factorization.

120004124013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674449 (or 3674446 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120004124013 its reverse (310421400021), we get a palindrome (430425524034).

The spelling of 120004124013 in words is "one hundred twenty billion, four million, one hundred twenty-four thousand, thirteen".

Divisors: 1 3 9 19 57 171 191 573 1719 3629 10887 32661 3674233 11022699 33068097 69810427 209431281 628293843 701778503 2105335509 6316006527 13333791557 40001374671 120004124013