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111301313013 = 321119334916691
BaseRepresentation
bin110011110101000010…
…0110100000111110101
3101122021210001112020100
41213222010310013311
53310421114004023
6123044153224313
711020102356642
oct1475204640765
9348253045210
10111301313013
1143225764910
12196a2702099
13a659ca46c7
14555bd66dc9
152d66496c43
hex19ea1341f5

111301313013 has 48 divisors (see below), whose sum is σ = 176808340800. Its totient is φ = 66909542400.

The previous prime is 111301312999. The next prime is 111301313041. The reversal of 111301313013 is 310313103111.

It is not a de Polignac number, because 111301313013 - 25 = 111301312981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111301313113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6659998 + ... + 6676688.

It is an arithmetic number, because the mean of its divisors is an integer number (3683507100).

Almost surely, 2111301313013 is an apocalyptic number.

It is an amenable number.

111301313013 is a deficient number, since it is larger than the sum of its proper divisors (65507027787).

111301313013 is a wasteful number, since it uses less digits than its factorization.

111301313013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17250 (or 17247 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 111301313013 its reverse (310313103111), we get a palindrome (421614416124).

The spelling of 111301313013 in words is "one hundred eleven billion, three hundred one million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 11 33 99 193 349 579 1047 1737 2123 3141 3839 6369 11517 16691 19107 34551 50073 67357 150219 183601 202071 550803 606213 740927 1652409 2222781 3221363 5825159 6668343 9664089 17475477 28992267 35434993 52426431 64076749 106304979 192230247 318914937 576690741 1124255687 3372767061 10118301183 12366812557 37100437671 111301313013