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130229611200 = 263252133122441
BaseRepresentation
bin111100101001001001…
…0100010101011000000
3110110010220222200222100
41321102102202223000
54113202240024300
6135454320310400
712260132300523
oct1712222425300
9413126880870
10130229611200
1150259247457
12212a5772400
13c385628b50
146435b98bba
1535c30bb700
hex1e524a2ac0

130229611200 has 504 divisors, whose sum is σ = 514574592896. Its totient is φ = 31021056000.

The previous prime is 130229611181. The next prime is 130229611201. The reversal of 130229611200 is 2116922031.

130229611200 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 29 + 611 + 20 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130229611201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5791980 + ... + 5814420.

Almost surely, 2130229611200 is an apocalyptic number.

130229611200 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 130229611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257287296448).

130229611200 is an abundant number, since it is smaller than the sum of its proper divisors (384344981696).

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

130229611200 is a wasteful number, since it uses less digits than its factorization.

130229611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22513 (or 22495 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 130229611200 in words is "one hundred thirty billion, two hundred twenty-nine million, six hundred eleven thousand, two hundred".