Search a number
-
+
130121804736 = 263271121729541
BaseRepresentation
bin111100100101111011…
…1010010101111000000
3110102212102010120022100
41321023313102233000
54112442140222421
6135435505510400
712254353043130
oct1711367225700
9412772116270
10130121804736
1150203403900
1221275642400
13c3691b1041
146425734ac0
1535b88c3c26
hex1e4bdd2bc0

130121804736 has 1008 divisors, whose sum is σ = 514140419520. Its totient is φ = 30656102400.

The previous prime is 130121804717. The next prime is 130121804737. The reversal of 130121804736 is 637408121031.

It is a happy number.

130121804736 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 2 + 180 + 473 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130121804736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130121804737) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 240520626 + ... + 240521166.

It is an arithmetic number, because the mean of its divisors is an integer number (510059940).

Almost surely, 2130121804736 is an apocalyptic number.

130121804736 is a gapful number since it is divisible by the number (16) 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 130121804736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257070209760).

130121804736 is an abundant number, since it is smaller than the sum of its proper divisors (384018614784).

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

130121804736 is a wasteful number, since it uses less digits than its factorization.

130121804736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 130121804736 its reverse (637408121031), we get a palindrome (767529925767).

The spelling of 130121804736 in words is "one hundred thirty billion, one hundred twenty-one million, eight hundred four thousand, seven hundred thirty-six".