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102431261052 = 223224533115979
BaseRepresentation
bin101111101100101100…
…0010000000101111100
3100210101121111012102100
41133121120100011330
53134234400323202
6115020053225100
710254225232101
oct1373130200574
9323347435370
10102431261052
113a49385a55a
1217a28032190
139875422353
144d59cdaaa8
1529e78d841c
hex17d961017c

102431261052 has 36 divisors (see below), whose sum is σ = 258936252120. Its totient is φ = 34142067552.

The previous prime is 102431261027. The next prime is 102431261063. The reversal of 102431261052 is 250162134201.

102431261052 is a `hidden beast` number, since 1 + 0 + 2 + 43 + 1 + 2 + 610 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×1024312610523 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 825199 + ... + 941177.

It is an arithmetic number, because the mean of its divisors is an integer number (7192673670).

Almost surely, 2102431261052 is an apocalyptic number.

102431261052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102431261052 is an abundant number, since it is smaller than the sum of its proper divisors (156504991068).

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

102431261052 is a wasteful number, since it uses less digits than its factorization.

102431261052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140522 (or 140517 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 102431261052 its reverse (250162134201), we get a palindrome (352593395253).

The spelling of 102431261052 in words is "one hundred two billion, four hundred thirty-one million, two hundred sixty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 24533 49066 73599 98132 115979 147198 220797 231958 294396 347937 441594 463916 695874 883188 1043811 1391748 2087622 4175244 2845312807 5690625614 8535938421 11381251228 17071876842 25607815263 34143753684 51215630526 102431261052