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130104261144 = 23321113171674451
BaseRepresentation
bin111100100101011010…
…0010111101000011000
3110102211012010021000200
41321022310113220120
54112423142324034
6135434041502200
712254050654464
oct1711264275030
9412735107020
10130104261144
11501a4511070
122126b7a1960
13c36567aa10
1464232894a4
1535b70aaa99
hex1e4ad17a18

130104261144 has 384 divisors, whose sum is σ = 441042900480. Its totient is φ = 34039296000.

The previous prime is 130104261107. The next prime is 130104261149. The reversal of 130104261144 is 441162401031.

130104261144 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 0 + 4 + 2 + 611 + 44 = 666.

It is a super-2 number, since 2×1301042611442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130104261149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29228119 + ... + 29232569.

It is an arithmetic number, because the mean of its divisors is an integer number (1148549220).

Almost surely, 2130104261144 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 130104261144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220521450240).

130104261144 is an abundant number, since it is smaller than the sum of its proper divisors (310938639336).

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

130104261144 is a wasteful number, since it uses less digits than its factorization.

130104261144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 130104261144 its reverse (441162401031), we get a palindrome (571266662175).

The spelling of 130104261144 in words is "one hundred thirty billion, one hundred four million, two hundred sixty-one thousand, one hundred forty-four".