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130444220412 = 2232111723236629
BaseRepresentation
bin111100101111100010…
…1001101011111111100
3110110200212210222110200
41321133011031133330
54114122210023122
6135531504203500
712265346402412
oct1713705153774
9413625728420
10130444220412
11503593a8540
1221345609590
13c3bac2994c
1464564a12b2
1535d6d5e5ac
hex1e5f14d7fc

130444220412 has 216 divisors, whose sum is σ = 398159601840. Its totient is φ = 35584834560.

The previous prime is 130444220393. The next prime is 130444220419. The reversal of 130444220412 is 214022444031.

130444220412 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 442 + 204 + 12 = 666.

130444220412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130444220419) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3542914 + ... + 3579542.

It is an arithmetic number, because the mean of its divisors is an integer number (1843331490).

Almost surely, 2130444220412 is an apocalyptic number.

130444220412 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 130444220412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199079800920).

130444220412 is an abundant number, since it is smaller than the sum of its proper divisors (267715381428).

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

130444220412 is a wasteful number, since it uses less digits than its factorization.

130444220412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36713 (or 36685 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 130444220412 its reverse (214022444031), we get a palindrome (344466664443).

The spelling of 130444220412 in words is "one hundred thirty billion, four hundred forty-four million, two hundred twenty thousand, four hundred twelve".