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131195060800 = 2652199744491
BaseRepresentation
bin111101000101111010…
…1011100001001000000
3110112122012122121211221
41322023311130021000
54122141413421200
6140134205244424
712323064421426
oct1721365341100
9415565577757
10131195060800
1150704211a91
1221514b63714
13c4aa659abb
1464c80b1116
15362cc2591a
hex1e8bd5c240

131195060800 has 168 divisors, whose sum is σ = 343323407840. Its totient is φ = 49202380800.

The previous prime is 131195060783. The next prime is 131195060803. The reversal of 131195060800 is 8060591131.

It is not an unprimeable number, because it can be changed into a prime (131195060803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2926555 + ... + 2971045.

Almost surely, 2131195060800 is an apocalyptic number.

131195060800 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 131195060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171661703920).

131195060800 is an abundant number, since it is smaller than the sum of its proper divisors (212128347040).

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

131195060800 is a wasteful number, since it uses less digits than its factorization.

131195060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44629 (or 44614 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 131195060800 in words is "one hundred thirty-one billion, one hundred ninety-five million, sixty thousand, eight hundred".