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131403430020 = 223547594091931
BaseRepresentation
bin111101001100001000…
…0010011100010000100
3110120011201201212200110
41322120100103202010
54123103234230040
6140211011313020
712331204504032
oct1723020234204
9416151655613
10131403430020
11508008a0955
12215728ab770
13c5118845b5
146507a31552
153641184980
hex1e98413884

131403430020 has 192 divisors, whose sum is σ = 383259340800. Its totient is φ = 33614238720.

The previous prime is 131403430009. The next prime is 131403430043. The reversal of 131403430020 is 20034304131.

It is a super-2 number, since 2×1314034300202 (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 63 ways as a sum of consecutive naturals, for example, 68048455 + ... + 68050385.

It is an arithmetic number, because the mean of its divisors is an integer number (1996142400).

Almost surely, 2131403430020 is an apocalyptic number.

131403430020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131403430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191629670400).

131403430020 is an abundant number, since it is smaller than the sum of its proper divisors (251855910780).

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

131403430020 is a wasteful number, since it uses less digits than its factorization.

131403430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 131403430020 its reverse (20034304131), we get a palindrome (151437734151).

The spelling of 131403430020 in words is "one hundred thirty-one billion, four hundred three million, four hundred thirty thousand, twenty".