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108000031 = 1729475979
BaseRepresentation
bin1100110111111…
…11001100011111
321112012222012011
412123333030133
5210122000111
614414452051
72450661616
oct633771437
9245188164
10108000031
1155a66027
1230204027
13194b4c59
14104b487d
159735021
hex66ff31f

108000031 has 32 divisors (see below), whose sum is σ = 124416000. Its totient is φ = 93230592.

The previous prime is 107999999. The next prime is 108000043. The reversal of 108000031 is 130000801.

It is not a de Polignac number, because 108000031 - 25 = 107999999 is a prime.

It is a super-2 number, since 2×1080000312 = 23328013392001922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107999975 and 108000020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108000071) 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 31 ways as a sum of consecutive naturals, for example, 1367050 + ... + 1367128.

It is an arithmetic number, because the mean of its divisors is an integer number (3888000).

Almost surely, 2108000031 is an apocalyptic number.

108000031 is a deficient number, since it is larger than the sum of its proper divisors (16415969).

108000031 is a wasteful number, since it uses less digits than its factorization.

108000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 108000031 is about 10392.3063369014. The cubic root of 108000031 is about 476.2203611547.

Adding to 108000031 its reverse (130000801), we get a palindrome (238000832).

The spelling of 108000031 in words is "one hundred eight million, thirty-one", and thus it is an aban number.

Divisors: 1 17 29 47 59 79 493 799 1003 1343 1363 1711 2291 2773 3713 4661 23171 29087 38947 47141 63121 79237 80417 107677 135169 219067 1367089 1830509 2297873 3724139 6352943 108000031