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130224250240000 = 210547216972447
BaseRepresentation
bin11101100111000000110010…
…001011010011110000000000
3122002002022112220101210201021
4131213000302023103300000
5114032043231030140000
61140544110014515224
736300251214250600
oct3547006213236000
9562068486353637
10130224250240000
1138547881359694
12127323b9b05b14
13578812b9983a7
142422c5cc18c00
15100c67198e11a
hex7670322d3c00

130224250240000 has 660 divisors, whose sum is σ = 378785051558496. Its totient is φ = 44603768832000.

The previous prime is 130224250239997. The next prime is 130224250240003. The reversal of 130224250240000 is 42052422031.

It is an interprime number because it is at equal distance from previous prime (130224250239997) and next prime (130224250240003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130224250240003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53217918777 + ... + 53217921223.

Almost surely, 2130224250240000 is an apocalyptic number.

130224250240000 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 130224250240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189392525779248).

130224250240000 is an abundant number, since it is smaller than the sum of its proper divisors (248560801318496).

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

130224250240000 is an equidigital number, since it uses as much as digits as its factorization.

130224250240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 130224250240000 in words is "one hundred thirty trillion, two hundred twenty-four billion, two hundred fifty million, two hundred forty thousand".