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131402248200 = 2332521931123941
BaseRepresentation
bin111101001100000101…
…1110011000000001000
3110120011122111211112100
41322120023303000020
54123102433420300
6140210530113400
712331161452346
oct1723013630010
9416148454470
10131402248200
1150800163a43
122157241b860
13c51155c6b2
146507804996
153640eee700
hex1e982f3008

131402248200 has 288 divisors, whose sum is σ = 479506809600. Its totient is φ = 32125248000.

The previous prime is 131402248189. The next prime is 131402248213. The reversal of 131402248200 is 2842204131.

131402248200 is a `hidden beast` number, since 1 + 31 + 402 + 24 + 8 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 998230 + ... + 1122170.

It is an arithmetic number, because the mean of its divisors is an integer number (1664954200).

Almost surely, 2131402248200 is an apocalyptic number.

131402248200 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 131402248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239753404800).

131402248200 is an abundant number, since it is smaller than the sum of its proper divisors (348104561400).

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

131402248200 is a wasteful number, since it uses less digits than its factorization.

131402248200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124013 (or 124001 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 131402248200 in words is "one hundred thirty-one billion, four hundred two million, two hundred forty-eight thousand, two hundred".