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131000200423400 = 235271171311601641
BaseRepresentation
bin11101110010010011011100…
…011010010110011111101000
3122011211111102012120021110202
4131302103130122112133220
5114132301402302022100
61142340354500131332
736410311042060340
oct3562233432263750
9564744365507422
10131000200423400
1138816966a751a0
1212838872096b48
13581335c225949
14244c62d097d20
1510229386ee7d5
hex7724dc6967e8

131000200423400 has 768 divisors, whose sum is σ = 387563434352640. Its totient is φ = 39997440000000.

The previous prime is 131000200423387. The next prime is 131000200423429. The reversal of 131000200423400 is 4324002000131.

It is a super-2 number, since 2×1310002004234002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204368487080 + ... + 204368487720.

It is an arithmetic number, because the mean of its divisors is an integer number (504639888480).

Almost surely, 2131000200423400 is an apocalyptic number.

131000200423400 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 131000200423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193781717176320).

131000200423400 is an abundant number, since it is smaller than the sum of its proper divisors (256563233929240).

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

131000200423400 is a wasteful number, since it uses less digits than its factorization.

131000200423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 131000200423400 its reverse (4324002000131), we get a palindrome (135324202423531).

The spelling of 131000200423400 in words is "one hundred thirty-one trillion, two hundred million, four hundred twenty-three thousand, four hundred".