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130012204320 = 253253713071867
BaseRepresentation
bin111100100010101010…
…1001100110100100000
3110102120202220021210200
41321011111030310200
54112231111014240
6135420552425200
712251552334315
oct1710525146440
9412522807720
10130012204320
1150157555449
12212449a8200
13c34c58881b
146414d64d0c
1535ade74930
hex1e4554cd20

130012204320 has 288 divisors, whose sum is σ = 456250511808. Its totient is φ = 33689032704.

The previous prime is 130012204313. The next prime is 130012204321. The reversal of 130012204320 is 23402210031.

130012204320 is a `hidden beast` number, since 13 + 0 + 0 + 1 + 220 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130012204293 and 130012204302.

It is not an unprimeable number, because it can be changed into a prime (130012204321) 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, 69636027 + ... + 69637893.

It is an arithmetic number, because the mean of its divisors is an integer number (1584203166).

Almost surely, 2130012204320 is an apocalyptic number.

130012204320 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 130012204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228125255904).

130012204320 is an abundant number, since it is smaller than the sum of its proper divisors (326238307488).

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

130012204320 is a wasteful number, since it uses less digits than its factorization.

130012204320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130012204320 its reverse (23402210031), we get a palindrome (153414414351).

The spelling of 130012204320 in words is "one hundred thirty billion, twelve million, two hundred four thousand, three hundred twenty".