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117127750311 = 321113208343691
BaseRepresentation
bin110110100010101011…
…0111010001010100111
3102012022211112012122100
41231011112322022213
53404334201002221
6125450250103143
711314351310415
oct1550526721247
9365284465570
10117127750311
114574561a450
121a849a1aab3
13b078111640
145951ab62b5
1530a7c48926
hex1b455ba2a7

117127750311 has 48 divisors (see below), whose sum is σ = 198862215552. Its totient is φ = 65493057600.

The previous prime is 117127750307. The next prime is 117127750319. The reversal of 117127750311 is 113057721711.

It is a happy number.

117127750311 is a `hidden beast` number, since 1 + 1 + 71 + 2 + 77 + 503 + 11 = 666.

It is not a de Polignac number, because 117127750311 - 22 = 117127750307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117127750319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2658976 + ... + 2702666.

It is an arithmetic number, because the mean of its divisors is an integer number (4142962824).

Almost surely, 2117127750311 is an apocalyptic number.

117127750311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117127750311 is a deficient number, since it is larger than the sum of its proper divisors (81734465241).

117127750311 is a wasteful number, since it uses less digits than its factorization.

117127750311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45804 (or 45801 counting only the distinct ones).

The product of its (nonzero) digits is 10290, while the sum is 36.

The spelling of 117127750311 in words is "one hundred seventeen billion, one hundred twenty-seven million, seven hundred fifty thousand, three hundred eleven".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 2083 6249 18747 22913 27079 43691 68739 81237 131073 206217 243711 297869 393219 480601 567983 893607 1441803 1703949 2680821 4325409 5111847 6247813 18743439 56230317 91008353 273025059 819075177 1001091883 1183108589 3003275649 3549325767 9009826947 10647977301 13014194479 39042583437 117127750311