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102431123304 = 23331409333637
BaseRepresentation
bin101111101100101011…
…1101110011101101000
3100210101121020012110120
41133121113232131220
53134234331421204
6115020050243240
710254224116356
oct1373127563550
9323347205416
10102431123304
113a493776014
1217a27b86520
1398753a4743
144d59ca27d6
1529e78ac6d9
hex17d95ee768

102431123304 has 64 divisors (see below), whose sum is σ = 264410826240. Its totient is φ = 33033242880.

The previous prime is 102431123303. The next prime is 102431123317. The reversal of 102431123304 is 403321134201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102431123303) 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 15 ways as a sum of consecutive naturals, for example, 3028374 + ... + 3062010.

It is an arithmetic number, because the mean of its divisors is an integer number (4131419160).

Almost surely, 2102431123304 is an apocalyptic number.

It is an amenable number.

102431123304 is an abundant number, since it is smaller than the sum of its proper divisors (161979702936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102431123304 is a wasteful number, since it uses less digits than its factorization.

102431123304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37770 (or 37766 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102431123304 its reverse (403321134201), we get a palindrome (505752257505).

The spelling of 102431123304 in words is "one hundred two billion, four hundred thirty-one million, one hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 4093 8186 12279 16372 24558 32744 33637 49116 67274 98232 100911 126883 134548 201822 253766 269096 380649 403644 507532 761298 807288 1015064 1042747 1522596 2085494 3045192 3128241 4170988 6256482 8341976 12512964 25025928 137676241 275352482 413028723 550704964 826057446 1101409928 1652114892 3304229784 4267963471 8535926942 12803890413 17071853884 25607780826 34143707768 51215561652 102431123304