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130197312 = 263273659
BaseRepresentation
bin1111100001010…
…10011101000000
3100001222201010200
413300222131000
5231312303222
620530325200
73140442000
oct760523500
9301881120
10130197312
1167547193
1237729800
1320c8753b
1413412000
15b66beac
hex7c2a740

130197312 has 168 divisors, whose sum is σ = 435864000. Its totient is φ = 37142784.

The previous prime is 130197311. The next prime is 130197313. The reversal of 130197312 is 213791031.

It is an interprime number because it is at equal distance from previous prime (130197311) and next prime (130197313).

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130197311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197239 + ... + 197897.

Almost surely, 2130197312 is an apocalyptic number.

130197312 is a gapful number since it is divisible by the number (12) 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 130197312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217932000).

130197312 is an abundant number, since it is smaller than the sum of its proper divisors (305666688).

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

130197312 is an equidigital number, since it uses as much as digits as its factorization.

130197312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 130197312 is about 11410.4036738408. The cubic root of 130197312 is about 506.8358653128.

The spelling of 130197312 in words is "one hundred thirty million, one hundred ninety-seven thousand, three hundred twelve".