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120020132013 = 3413133117487
BaseRepresentation
bin110111111000111000…
…0011110000010101101
3102110210102001102102120
41233301300132002231
53431300123211023
6131045251543153
711446132201215
oct1576160360255
9373712042376
10120020132013
114699a265651
121b3165baab9
13b4194158c2
145b47ca7245
1531c6b308e3
hex1bf1c1e0ad

120020132013 has 16 divisors (see below), whose sum is σ = 164453726976. Its totient is φ = 77812450560.

The previous prime is 120020132009. The next prime is 120020132033. The reversal of 120020132013 is 310231020021.

It is not a de Polignac number, because 120020132013 - 22 = 120020132009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120020131983 and 120020132001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020132033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520245 + ... + 1597242.

It is an arithmetic number, because the mean of its divisors is an integer number (10278357936).

Almost surely, 2120020132013 is an apocalyptic number.

It is an amenable number.

120020132013 is a deficient number, since it is larger than the sum of its proper divisors (44433594963).

120020132013 is a wasteful number, since it uses less digits than its factorization.

120020132013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117844.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120020132013 its reverse (310231020021), we get a palindrome (430251152034).

The spelling of 120020132013 in words is "one hundred twenty billion, twenty million, one hundred thirty-two thousand, thirteen".

Divisors: 1 3 41 123 313 939 12833 38499 3117487 9352461 127816967 383450901 975773431 2927320293 40006710671 120020132013