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131423292000 = 253253721113521
BaseRepresentation
bin111101001100101110…
…0000100101001100000
3110120020010002222012100
41322121130010221200
54123123330321000
6140213001130400
712331535356500
oct1723134045140
9416203088170
10131423292000
1150811027510
1221579489a00
13c515a19c50
14650a521a00
153642ca9a00
hex1e99704a60

131423292000 has 1728 divisors, whose sum is σ = 638650329408. Its totient is φ = 25159680000.

The previous prime is 131423291981. The next prime is 131423292001. The reversal of 131423292000 is 292324131.

It is a happy number.

131423292000 is a `hidden beast` number, since 1 + 31 + 423 + 2 + 9 + 200 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131423292001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252251740 + ... + 252252260.

It is an arithmetic number, because the mean of its divisors is an integer number (369589311).

Almost surely, 2131423292000 is an apocalyptic number.

131423292000 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 131423292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319325164704).

131423292000 is an abundant number, since it is smaller than the sum of its proper divisors (507227037408).

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

131423292000 is a wasteful number, since it uses less digits than its factorization.

131423292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 131423292000 in words is "one hundred thirty-one billion, four hundred twenty-three million, two hundred ninety-two thousand".