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131141330201400 = 233521732789392113
BaseRepresentation
bin11101110100010110111000…
…011001101110101100111000
3122012022222200210010211021120
4131310112320121232230320
5114142104421012421100
61142525255001105240
736423435262305141
oct3564267031565470
9565288623124246
10131141330201400
11388707a9062262
121286009a188220
135823760b9351c
1424553ba776ac8
1510264486da0a0
hex7745b866eb38

131141330201400 has 192 divisors, whose sum is σ = 430466356648800. Its totient is φ = 32912814735360.

The previous prime is 131141330201389. The next prime is 131141330201467. The reversal of 131141330201400 is 4102033141131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334251744 + ... + 334643856.

Almost surely, 2131141330201400 is an apocalyptic number.

131141330201400 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 131141330201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215233178324400).

131141330201400 is an abundant number, since it is smaller than the sum of its proper divisors (299325026447400).

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

131141330201400 is a wasteful number, since it uses less digits than its factorization.

131141330201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424938 (or 424929 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131141330201400 its reverse (4102033141131), we get a palindrome (135243363342531).

The spelling of 131141330201400 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred thirty million, two hundred one thousand, four hundred".