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131141232002000 = 24531112799147363
BaseRepresentation
bin11101110100010110110010…
…100011001000001111010000
3122012022222102221100210000202
4131310112302203020033100
5114142104220343031000
61142525241132234332
736423432660522413
oct3564266243101720
9565288387323022
10131141232002000
1138870758690630
121286007130b9a8
13582374673047c
1424553ab6d3b7a
15102643ec8ddd5
hex7745b28c83d0

131141232002000 has 320 divisors, whose sum is σ = 349009744232448. Its totient is φ = 47263487040000.

The previous prime is 131141232001993. The next prime is 131141232002111. The reversal of 131141232002000 is 200232141131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2768830319 + ... + 2768877681.

Almost surely, 2131141232002000 is an apocalyptic number.

131141232002000 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 131141232002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174504872116224).

131141232002000 is an abundant number, since it is smaller than the sum of its proper divisors (217868512230448).

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

131141232002000 is a wasteful number, since it uses less digits than its factorization.

131141232002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48515 (or 48499 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 131141232002000 its reverse (200232141131), we get a palindrome (131341464143131).

The spelling of 131141232002000 in words is "one hundred thirty-one trillion, one hundred forty-one billion, two hundred thirty-two million, two thousand".