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120120200013 = 31171245920849
BaseRepresentation
bin110111111011110111…
…0001100101101001101
3102111001101100101220210
41233313232030231031
53432001232400023
6131103224433033
711451455565522
oct1576756145515
9374041311823
10120120200013
1146a407a3180
121b344018779
13b434081338
145b572b5149
1531d07ea593
hex1bf7b8cb4d

120120200013 has 32 divisors (see below), whose sum is σ = 177261696000. Its totient is φ = 71742137600.

The previous prime is 120120200009. The next prime is 120120200033. The reversal of 120120200013 is 310002021021.

It is a cyclic number.

It is not a de Polignac number, because 120120200013 - 22 = 120120200009 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120200003) 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, 5751013 + ... + 5771861.

It is an arithmetic number, because the mean of its divisors is an integer number (5539428000).

Almost surely, 2120120200013 is an apocalyptic number.

It is an amenable number.

120120200013 is a deficient number, since it is larger than the sum of its proper divisors (57141495987).

120120200013 is a wasteful number, since it uses less digits than its factorization.

120120200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23393.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120120200013 its reverse (310002021021), we get a palindrome (430122221034).

The spelling of 120120200013 in words is "one hundred twenty billion, one hundred twenty million, two hundred thousand, thirteen".

Divisors: 1 3 11 33 71 213 781 2343 2459 7377 20849 27049 62547 81147 174589 229339 523767 688017 1480279 1920479 4440837 5761437 16283069 48849207 51267691 153803073 563944601 1691833803 3640006061 10920018183 40040066671 120120200013