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130246645122 = 2321123413112243
BaseRepresentation
bin111100101001101001…
…1100001010110000010
3110110012010001010010100
41321103103201112002
54113221120120442
6135500125343230
712260430134226
oct1712323412602
9413163033110
10130246645122
1150267921280
12212ab407b16
13c3890111a9
146438150786
1535c483384c
hex1e534e1582

130246645122 has 192 divisors, whose sum is σ = 330281183232. Its totient is φ = 36697056000.

The previous prime is 130246645097. The next prime is 130246645127. The reversal of 130246645122 is 221546642031.

130246645122 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 4 + 6 + 645 + 1 + 2 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (130246645127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58066933 + ... + 58069175.

It is an arithmetic number, because the mean of its divisors is an integer number (1720214496).

Almost surely, 2130246645122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130246645122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165140591616).

130246645122 is an abundant number, since it is smaller than the sum of its proper divisors (200034538110).

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

130246645122 is a wasteful number, since it uses less digits than its factorization.

130246645122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2634 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 130246645122 in words is "one hundred thirty billion, two hundred forty-six million, six hundred forty-five thousand, one hundred twenty-two".