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117111531405 = 35111065766601
BaseRepresentation
bin110110100010001100…
…1000010011110001101
3102012021201000012111010
41231010121002132031
53404321023001110
6125444510315433
711314063410111
oct1550431023615
9365251005433
10117111531405
11457374519a0
121a8444b8b79
13b07495325b
14594d893741
1530a65e3020
hex1b4464278d

117111531405 has 32 divisors (see below), whose sum is σ = 204435105408. Its totient is φ = 56775168000.

The previous prime is 117111531403. The next prime is 117111531437. The reversal of 117111531405 is 504135111711.

It is a happy number.

It is not a de Polignac number, because 117111531405 - 21 = 117111531403 is a prime.

It is a super-2 number, since 2×1171115314052 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117111531403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725105 + ... + 1791705.

It is an arithmetic number, because the mean of its divisors is an integer number (6388597044).

Almost surely, 2117111531405 is an apocalyptic number.

117111531405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

117111531405 is a deficient number, since it is larger than the sum of its proper divisors (87323574003).

117111531405 is a wasteful number, since it uses less digits than its factorization.

117111531405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77277.

The product of its (nonzero) digits is 2100, while the sum is 30.

The spelling of 117111531405 in words is "one hundred seventeen billion, one hundred eleven million, five hundred thirty-one thousand, four hundred five".

Divisors: 1 3 5 11 15 33 55 165 10657 31971 53285 66601 117227 159855 199803 333005 351681 586135 732611 999015 1758405 2197833 3663055 10989165 709766857 2129300571 3548834285 7807435427 10646502855 23422306281 39037177135 117111531405