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130130310311232 = 26371112776892799
BaseRepresentation
bin11101100101101001010010…
…111010111010110101000000
3122001202100002001211222101020
4131211221102322322311000
5114024023333414424412
61140433012252105440
736260414254112340
oct3545512272726500
9561670061758336
10130130310311232
1138510a55753820
1212718161765280
13577c30a827c1a
14241c4aa962d20
151009ec47a618c
hex765a52ebad40

130130310311232 has 224 divisors, whose sum is σ = 429597233971200. Its totient is φ = 33773607352320.

The previous prime is 130130310311129. The next prime is 130130310311279. The reversal of 130130310311232 is 232113013031031.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 15432769 + ... + 22325567.

Almost surely, 2130130310311232 is an apocalyptic number.

130130310311232 is a gapful number since it is divisible by the number (12) 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 130130310311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214798616985600).

130130310311232 is an abundant number, since it is smaller than the sum of its proper divisors (299466923659968).

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

130130310311232 is a wasteful number, since it uses less digits than its factorization.

130130310311232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894109 (or 6894099 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 130130310311232 its reverse (232113013031031), we get a palindrome (362243323342263).

The spelling of 130130310311232 in words is "one hundred thirty trillion, one hundred thirty billion, three hundred ten million, three hundred eleven thousand, two hundred thirty-two".