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130131130000 = 245441503631
BaseRepresentation
bin111100100110001101…
…0110111011010010000
3110102220001200100011111
41321030122313122100
54113002032130000
6135440441423104
712254525232364
oct1711432673220
9412801610144
10130131130000
11502086a3033
122127879aa94
13c36b0c7751
146426a812a4
1535b9616cba
hex1e4c6b7690

130131130000 has 200 divisors, whose sum is σ = 323899019136. Its totient is φ = 50601600000.

The previous prime is 130131129971. The next prime is 130131130027. The reversal of 130131130000 is 31131031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1301311300002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206229685 + ... + 206230315.

Almost surely, 2130131130000 is an apocalyptic number.

130131130000 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 130131130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161949509568).

130131130000 is an abundant number, since it is smaller than the sum of its proper divisors (193767889136).

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

130131130000 is an equidigital number, since it uses as much as digits as its factorization.

130131130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 130131130000 its reverse (31131031), we get a palindrome (130162261031).

The spelling of 130131130000 in words is "one hundred thirty billion, one hundred thirty-one million, one hundred thirty thousand".