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130130310000 = 2435441472251
BaseRepresentation
bin111100100110001011…
…1101111001101110000
3110102220000010200100010
41321030113233031300
54113001324410000
6135440412054520
712254515245615
oct1711427571560
9412800120303
10130130310000
1150208192a49
1221278464440
13c36ab9b442
14642690a50c
1535b9503d50
hex1e4c5ef370

130130310000 has 400 divisors, whose sum is σ = 439674859008. Its totient is φ = 33120000000.

The previous prime is 130130309987. The next prime is 130130310007. The reversal of 130130310000 is 13031031.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1301303100002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130130310007) 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, 57808875 + ... + 57811125.

Almost surely, 2130130310000 is an apocalyptic number.

130130310000 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 130130310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219837429504).

130130310000 is an abundant number, since it is smaller than the sum of its proper divisors (309544549008).

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

130130310000 is a wasteful number, since it uses less digits than its factorization.

130130310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 130130310000 its reverse (13031031), we get a palindrome (130143341031).

The spelling of 130130310000 in words is "one hundred thirty billion, one hundred thirty million, three hundred ten thousand".