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938120013 = 32104235557
BaseRepresentation
bin110111111010101…
…001001101001101
32102101020102201200
4313322221031031
53410124320023
6233031100113
732150613525
oct6772511515
92371212650
10938120013
114415a94a6
12222211639
1311c4825cc
148c840685
155755b743
hex37ea934d

938120013 has 6 divisors (see below), whose sum is σ = 1355062254. Its totient is φ = 625413336.

The previous prime is 938119999. The next prime is 938120069. The reversal of 938120013 is 310021839.

It can be written as a sum of positive squares in only one way, i.e., 873911844 + 64208169 = 29562^2 + 8013^2 .

It is not a de Polignac number, because 938120013 - 216 = 938054477 is a prime.

It is a super-2 number, since 2×9381200132 = 1760138317582240338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938120413) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52117770 + ... + 52117787.

It is an arithmetic number, because the mean of its divisors is an integer number (225843709).

Almost surely, 2938120013 is an apocalyptic number.

It is an amenable number.

938120013 is a deficient number, since it is larger than the sum of its proper divisors (416942241).

938120013 is a wasteful number, since it uses less digits than its factorization.

938120013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104235563 (or 104235560 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 938120013 is about 30628.7448812386. The cubic root of 938120013 is about 978.9326199756.

The spelling of 938120013 in words is "nine hundred thirty-eight million, one hundred twenty thousand, thirteen".

Divisors: 1 3 9 104235557 312706671 938120013