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131374530000 = 24325471511381
BaseRepresentation
bin111101001011010001…
…0000011110111010000
3110120002201100121022100
41322112202003313100
54123023334430000
6140204100040400
712330404036310
oct1722642036720
9416081317270
10131374530000
115079655193a
1221565093100
13c5088a61ac
146503c6b440
15363d876a00
hex1e96883dd0

131374530000 has 600 divisors, whose sum is σ = 528929388416. Its totient is φ = 29808000000.

The previous prime is 131374529999. The next prime is 131374530017. The reversal of 131374530000 is 35473131.

131374530000 is a `hidden beast` number, since 1 + 313 + 7 + 45 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 95129310 + ... + 95130690.

Almost surely, 2131374530000 is an apocalyptic number.

131374530000 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 131374530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264464694208).

131374530000 is an abundant number, since it is smaller than the sum of its proper divisors (397554858416).

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

131374530000 is a wasteful number, since it uses less digits than its factorization.

131374530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 131374530000 in words is "one hundred thirty-one billion, three hundred seventy-four million, five hundred thirty thousand".