Search a number
-
+
130321354240 = 2957111574211
BaseRepresentation
bin111100101011111000…
…0100000111000000000
3110110101022121201202201
41321113300200320000
54113344231313430
6135511354522544
712262325143120
oct1712760407000
9413338551681
10130321354240
11502a6009350
1221310436454
13c39b63b27c
14644403ac80
1535cb18e8ca
hex1e57c20e00

130321354240 has 320 divisors, whose sum is σ = 392142187008. Its totient is φ = 40351334400.

The previous prime is 130321354199. The next prime is 130321354259. The reversal of 130321354240 is 42453123031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 130321354199 and 130321354208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30945735 + ... + 30949945.

Almost surely, 2130321354240 is an apocalyptic number.

130321354240 is a gapful number since it is divisible by the number (10) 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 130321354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196071093504).

130321354240 is an abundant number, since it is smaller than the sum of its proper divisors (261820832768).

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

130321354240 is a wasteful number, since it uses less digits than its factorization.

130321354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 130321354240 its reverse (42453123031), we get a palindrome (172774477271).

The spelling of 130321354240 in words is "one hundred thirty billion, three hundred twenty-one million, three hundred fifty-four thousand, two hundred forty".