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120212020313 = 7211779328619
BaseRepresentation
bin110111111110100110…
…0011101110001011001
3102111021210010100200122
41233331030131301121
53432143234122223
6131120304443025
711453652212300
oct1577514356131
9374253110618
10120212020313
1146a88608120
121b36a919475
13b44a0bc988
145b65577437
1531d88d65c8
hex1bfd31dc59

120212020313 has 24 divisors (see below), whose sum is σ = 152575967520. Its totient is φ = 93656411520.

The previous prime is 120212020301. The next prime is 120212020333. The reversal of 120212020313 is 313020212021.

It is not a de Polignac number, because 120212020313 - 28 = 120212020057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120212020291 and 120212020300.

It is not an unprimeable number, because it can be changed into a prime (120212020333) 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, 4186118 + ... + 4214736.

It is an arithmetic number, because the mean of its divisors is an integer number (6357331980).

Almost surely, 2120212020313 is an apocalyptic number.

It is an amenable number.

120212020313 is a deficient number, since it is larger than the sum of its proper divisors (32363947207).

120212020313 is a wasteful number, since it uses less digits than its factorization.

120212020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36437 (or 36430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 120212020313 its reverse (313020212021), we get a palindrome (433232232334).

The spelling of 120212020313 in words is "one hundred twenty billion, two hundred twelve million, twenty thousand, three hundred thirteen".

Divisors: 1 7 11 49 77 539 7793 28619 54551 85723 200333 314809 381857 600061 1402331 2203663 4200427 15425641 223027867 1561195069 2453306537 10928365483 17173145759 120212020313