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130012381200 = 243521321433889
BaseRepresentation
bin111100100010101010…
…1111000000000010000
3110102120210020021102210
41321011111320000100
54112231132144300
6135421000312120
712251554002102
oct1710525700020
9412523207383
10130012381200
1150157666329
1221244a72640
13c34c61b1a0
146414dad572
1535adeac050
hex1e45578010

130012381200 has 240 divisors, whose sum is σ = 448834050560. Its totient is φ = 31979888640.

The previous prime is 130012381133. The next prime is 130012381201. The reversal of 130012381200 is 2183210031.

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

It is a super-2 number, since 2×1300123812002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130012381201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33428856 + ... + 33432744.

Almost surely, 2130012381200 is an apocalyptic number.

130012381200 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 130012381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224417025280).

130012381200 is an abundant number, since it is smaller than the sum of its proper divisors (318821669360).

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

130012381200 is a wasteful number, since it uses less digits than its factorization.

130012381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6055 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 130012381200 its reverse (2183210031), we get a palindrome (132195591231).

The spelling of 130012381200 in words is "one hundred thirty billion, twelve million, three hundred eighty-one thousand, two hundred".