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130320001021200 = 24352239701364793
BaseRepresentation
bin11101101000011001111101…
…010111100011010100010000
3122002102110200221101110120220
4131220121331113203110100
5114040130330230134300
61141100103150233040
736310211053413234
oct3550317527432420
9562373627343526
10130320001021200
1138584447160811
1212748a807b5780
13579417b058483
1424277437b05c4
15100edc7b25da0
hex76867d5e3510

130320001021200 has 240 divisors, whose sum is σ = 419271337416960. Its totient is φ = 34601125744640.

The previous prime is 130320001021141. The next prime is 130320001021247. The reversal of 130320001021200 is 2120100023031.

130320001021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130320001021200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2011296004 + ... + 2011360796.

It is an arithmetic number, because the mean of its divisors is an integer number (1746963905904).

Almost surely, 2130320001021200 is an apocalyptic number.

130320001021200 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 130320001021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209635668708480).

130320001021200 is an abundant number, since it is smaller than the sum of its proper divisors (288951336395760).

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

130320001021200 is a wasteful number, since it uses less digits than its factorization.

130320001021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72066 (or 72055 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 130320001021200 its reverse (2120100023031), we get a palindrome (132440101044231).

The spelling of 130320001021200 in words is "one hundred thirty trillion, three hundred twenty billion, one million, twenty-one thousand, two hundred".