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130076161200 = 24335231388519
BaseRepresentation
bin111100100100100100…
…1001011010010110000
3110102202020020122011000
41321021021023102300
54112343444124300
6135431155322000
712253260061446
oct1711111132260
9412666218130
10130076161200
115018a669177
12212622b0300
13c35c8bc82b
14641d652b96
1535b48a9c00
hex1e4924b4b0

130076161200 has 240 divisors, whose sum is σ = 477910681600. Its totient is φ = 33567955200.

The previous prime is 130076161199. The next prime is 130076161207. The reversal of 130076161200 is 2161670031.

130076161200 is a `hidden beast` number, since 1 + 30 + 0 + 7 + 616 + 12 + 0 + 0 = 666.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (130076161207) 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, 140541 + ... + 529059.

Almost surely, 2130076161200 is an apocalyptic number.

130076161200 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 130076161200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238955340800).

130076161200 is an abundant number, since it is smaller than the sum of its proper divisors (347834520400).

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

130076161200 is a wasteful number, since it uses less digits than its factorization.

130076161200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388577 (or 388560 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 130076161200 in words is "one hundred thirty billion, seventy-six million, one hundred sixty-one thousand, two hundred".