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130110412224 = 2631328348311
BaseRepresentation
bin111100100101100101…
…1110101010111000000
3110102211121200202201110
41321023023311113000
54112431231142344
6135434421403320
712254154153612
oct1711313652700
9412747622643
10130110412224
11501a7a32501
1221271869540
13c366a22700
14642400adb2
1535b78c33b9
hex1e4b2f55c0

130110412224 has 168 divisors, whose sum is σ = 377267248512. Its totient is φ = 39550817280.

The previous prime is 130110412219. The next prime is 130110412261. The reversal of 130110412224 is 422214011031.

It is a self number, because there is not a number n which added to its sum of digits gives 130110412224.

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 23 ways as a sum of consecutive naturals, for example, 2669029 + ... + 2717339.

It is an arithmetic number, because the mean of its divisors is an integer number (2245638384).

Almost surely, 2130110412224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130110412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188633624256).

130110412224 is an abundant number, since it is smaller than the sum of its proper divisors (247156836288).

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

130110412224 is a wasteful number, since it uses less digits than its factorization.

130110412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48435 (or 48412 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 130110412224 its reverse (422214011031), we get a palindrome (552324423255).

The spelling of 130110412224 in words is "one hundred thirty billion, one hundred ten million, four hundred twelve thousand, two hundred twenty-four".