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131403430032 = 2437391081637
BaseRepresentation
bin111101001100001000…
…0010011100010010000
3110120011201201212200220
41322120100103202100
54123103234230112
6140211011313040
712331204504050
oct1723020234220
9416151655626
10131403430032
11508008a0966
12215728ab780
13c5118845c4
146507a31560
15364118498c
hex1e98413890

131403430032 has 40 divisors (see below), whose sum is σ = 387952984896. Its totient is φ = 37543837056.

The previous prime is 131403430009. The next prime is 131403430043. The reversal of 131403430032 is 230034304131.

131403430032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1314034300322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 131403429984 and 131403430011.

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, 195540483 + ... + 195541154.

Almost surely, 2131403430032 is an apocalyptic number.

131403430032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131403430032 is an abundant number, since it is smaller than the sum of its proper divisors (256549554864).

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

131403430032 is a wasteful number, since it uses less digits than its factorization.

131403430032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391081655 (or 391081649 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131403430032 its reverse (230034304131), we get a palindrome (361437734163).

The spelling of 131403430032 in words is "one hundred thirty-one billion, four hundred three million, four hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 391081637 782163274 1173244911 1564326548 2346489822 2737571459 3128653096 4692979644 5475142918 6257306192 8212714377 9385959288 10950285836 16425428754 18771918576 21900571672 32850857508 43801143344 65701715016 131403430032