Search a number
-
+
130298986260 = 22355732811307
BaseRepresentation
bin111100101011001101…
…1001011111100010100
3110110022202112022200000
41321112123023330110
54113323020030020
6135505235251300
712261634052262
oct1712633137424
9413282468600
10130298986260
1150294420a13
1221304a49b30
13c396b09091
146441097432
1535c9222090
hex1e566cbf14

130298986260 has 288 divisors, whose sum is σ = 417291219072. Its totient is φ = 34122332160.

The previous prime is 130298986247. The next prime is 130298986271. The reversal of 130298986260 is 62689892031.

130298986260 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 9 + 8 + 9 + 8 + 626 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 130298986197 and 130298986206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99692527 + ... + 99693833.

It is an arithmetic number, because the mean of its divisors is an integer number (1448927844).

Almost surely, 2130298986260 is an apocalyptic number.

130298986260 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 130298986260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208645609536).

130298986260 is an abundant number, since it is smaller than the sum of its proper divisors (286992232812).

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

130298986260 is a wasteful number, since it uses less digits than its factorization.

130298986260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 130298986260 in words is "one hundred thirty billion, two hundred ninety-eight million, nine hundred eighty-six thousand, two hundred sixty".