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117327723711 = 31131163770061
BaseRepresentation
bin110110101000101000…
…1101111110010111111
3102012211202210220120120
41231101101233302333
53410241344124321
6125522152150023
711322330124302
oct1552121576277
9365752726516
10117327723711
1145838494420
121a8a4998313
13b0aa6897b3
14597048cb39
1530ba599ec6
hex1b5146fcbf

117327723711 has 32 divisors (see below), whose sum is σ = 176273750016. Its totient is φ = 68770896000.

The previous prime is 117327723679. The next prime is 117327723797.

It is a happy number.

117327723711 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 117327723711 - 25 = 117327723679 is a prime.

It is a super-2 number, since 2×1173277237112 (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 (117327723511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1639621 + ... + 1709681.

It is an arithmetic number, because the mean of its divisors is an integer number (5508554688).

Almost surely, 2117327723711 is an apocalyptic number.

117327723711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117327723711 is a deficient number, since it is larger than the sum of its proper divisors (58946026305).

117327723711 is a wasteful number, since it uses less digits than its factorization.

117327723711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71743.

The product of its digits is 86436, while the sum is 42.

The spelling of 117327723711 in words is "one hundred seventeen billion, three hundred twenty-seven million, seven hundred twenty-three thousand, seven hundred eleven".

Divisors: 1 3 11 31 33 93 341 1023 1637 4911 18007 50747 54021 70061 152241 210183 558217 770671 1674651 2171891 2312013 6515673 23890801 71672403 114689857 344069571 1261588427 3555385567 3784765281 10666156701 39109241237 117327723711