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130424226000 = 24353107223911
BaseRepresentation
bin111100101110111100…
…0111100000011010000
3110110122111012011021220
41321131320330003100
54114102100213000
6135525511445040
712265014425565
oct1713570740320
9413574164256
10130424226000
1150349091432
122133a986780
13c3b6a48c33
14645397886c
1535d52101a0
hex1e5de3c0d0

130424226000 has 320 divisors, whose sum is σ = 426788683776. Its totient is φ = 34262592000.

The previous prime is 130424225989. The next prime is 130424226043. The reversal of 130424226000 is 622424031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 143165545 + ... + 143166455.

Almost surely, 2130424226000 is an apocalyptic number.

130424226000 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 130424226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213394341888).

130424226000 is an abundant number, since it is smaller than the sum of its proper divisors (296364457776).

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

130424226000 is a wasteful number, since it uses less digits than its factorization.

130424226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 130424226000 in words is "one hundred thirty billion, four hundred twenty-four million, two hundred twenty-six thousand".