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2131130144000 = 285311133741307
BaseRepresentation
bin11111000000110001010…
…000010101010100000000
321112201211010100100201002
4133000301100111110000
5234404023304102000
64311005551031132
7306653251223624
oct37006120252400
97481733310632
102131130144000
11751897453920
122a503b20b4a8
13125c70612260
147520c0a3184
153a68017d8d5
hex1f031415500

2131130144000 has 1152 divisors, whose sum is σ = 6583220227584. Its totient is φ = 676823040000.

The previous prime is 2131130143997. The next prime is 2131130144029. The reversal of 2131130144000 is 4410311312.

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 127 ways as a sum of consecutive naturals, for example, 6941791847 + ... + 6941792153.

It is an arithmetic number, because the mean of its divisors is an integer number (5714600892).

Almost surely, 22131130144000 is an apocalyptic number.

2131130144000 is a gapful number since it is divisible by the number (20) 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 2131130144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3291610113792).

2131130144000 is an abundant number, since it is smaller than the sum of its proper divisors (4452090083584).

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

2131130144000 is a wasteful number, since it uses less digits than its factorization.

2131130144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 416 counting only the distinct ones).

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

Adding to 2131130144000 its reverse (4410311312), we get a palindrome (2135540455312).

The spelling of 2131130144000 in words is "two trillion, one hundred thirty-one billion, one hundred thirty million, one hundred forty-four thousand".