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131111432313400 = 23527311173749579
BaseRepresentation
bin11101110011111011000010…
…010110010101101000111000
3122012020010112010222202020101
4131303323002112111220320
5114141112203133012100
61142503432133405144
736421326342406000
oct3563730226255070
9565203463882211
10131111432313400
113885a056522510
12128563354997b4
1358209a7a01336
142453b81b0d000
151025798a3186a
hex773ec2595a38

131111432313400 has 192 divisors, whose sum is σ = 387809062560000. Its totient is φ = 40865900745600.

The previous prime is 131111432313397. The next prime is 131111432313467. The reversal of 131111432313400 is 4313234111131.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86120190 + ... + 87629389.

It is an arithmetic number, because the mean of its divisors is an integer number (2019838867500).

Almost surely, 2131111432313400 is an apocalyptic number.

131111432313400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131111432313400 is an abundant number, since it is smaller than the sum of its proper divisors (256697630246600).

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

131111432313400 is a wasteful number, since it uses less digits than its factorization.

131111432313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173749627 (or 173749604 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131111432313400 its reverse (4313234111131), we get a palindrome (135424666424531).

The spelling of 131111432313400 in words is "one hundred thirty-one trillion, one hundred eleven billion, four hundred thirty-two million, three hundred thirteen thousand, four hundred".