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102431001320 = 23515716310669
BaseRepresentation
bin101111101100101011…
…1010000101011101000
3100210101121000000010122
41133121113100223220
53134234314020240
6115020043502412
710254223100624
oct1373127205350
9323347000118
10102431001320
113a4936a23aa
1217a27b27a08
13987536106b
144d59c70184
1529e78864b5
hex17d95d0ae8

102431001320 has 32 divisors (see below), whose sum is σ = 231937727400. Its totient is φ = 40711427328.

The previous prime is 102431001311. The next prime is 102431001367. The reversal of 102431001320 is 23100134201.

It can be written as a sum of positive squares in 4 ways, for example, as 81977997124 + 20453004196 = 286318^2 + 143014^2 .

It is a super-2 number, since 2×1024310013202 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8149055 + ... + 8161614.

Almost surely, 2102431001320 is an apocalyptic number.

102431001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102431001320 is an abundant number, since it is smaller than the sum of its proper divisors (129506726080).

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

102431001320 is a wasteful number, since it uses less digits than its factorization.

102431001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16310837 (or 16310833 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102431001320 its reverse (23100134201), we get a palindrome (125531135521).

The spelling of 102431001320 in words is "one hundred two billion, four hundred thirty-one million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 16310669 32621338 65242676 81553345 130485352 163106690 326213380 652426760 2560775033 5121550066 10243100132 12803875165 20486200264 25607750330 51215500660 102431001320