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130131143120000 = 2754114127113309
BaseRepresentation
bin11101100101101010000100…
…100011110101010010000000
3122001202102020002221001020102
4131211222010203311102000
5114024032040114320000
61140433231042101532
736260444015633261
oct3545520443652200
9561672202831212
10130131143120000
1138511342863330
121271835464a8a8
13577c411227389
14241c5493cc968
15100a02295e3d5
hex765a848f5480

130131143120000 has 640 divisors, whose sum is σ = 363386434118400. Its totient is φ = 45992448000000.

The previous prime is 130131143119949. The next prime is 130131143120003. The reversal of 130131143120000 is 21341131031.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1301311431200002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130131143120003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9777673346 + ... + 9777686654.

It is an arithmetic number, because the mean of its divisors is an integer number (567791303310).

Almost surely, 2130131143120000 is an apocalyptic number.

130131143120000 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 130131143120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181693217059200).

130131143120000 is an abundant number, since it is smaller than the sum of its proper divisors (233255290998400).

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

130131143120000 is a wasteful number, since it uses less digits than its factorization.

130131143120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666 (or 13639 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 130131143120000 its reverse (21341131031), we get a palindrome (130152484251031).

The spelling of 130131143120000 in words is "one hundred thirty trillion, one hundred thirty-one billion, one hundred forty-three million, one hundred twenty thousand".