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131023021030400 = 21052177127115647
BaseRepresentation
bin11101110010101000101100…
…101000000011110000000000
3122011220200022121120020010102
4131302220230220003300000
5114133140121340433100
61142355051145021532
736412046414040302
oct3562505450036000
9564820277506112
10131023021030400
1138825607676a84
12128411807848a8
1358155580942b5
14244d795c09972
151023321dc5cd5
hex772a2ca03c00

131023021030400 has 528 divisors, whose sum is σ = 350035651141632. Its totient is φ = 48449028096000.

The previous prime is 131023021030393. The next prime is 131023021030409. The reversal of 131023021030400 is 4030120320131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131023021030409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8373675377 + ... + 8373691023.

Almost surely, 2131023021030400 is an apocalyptic number.

131023021030400 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 131023021030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175017825570816).

131023021030400 is an abundant number, since it is smaller than the sum of its proper divisors (219012630111232).

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

131023021030400 is a wasteful number, since it uses less digits than its factorization.

131023021030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16036 (or 16013 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131023021030400 its reverse (4030120320131), we get a palindrome (135053141350531).

The spelling of 131023021030400 in words is "one hundred thirty-one trillion, twenty-three billion, twenty-one million, thirty thousand, four hundred".