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130313033130 = 23573137795297
BaseRepresentation
bin111100101011101000…
…0110001010110101010
3110110100201221222100110
41321113100301112222
54113340114030010
6135510500315150
712262164335250
oct1712720612652
9413321858313
10130313033130
11502a13455a5
12213096a2ab6
13c3999b6937
146442cb25d0
1535ca599120
hex1e574315aa

130313033130 has 128 divisors (see below), whose sum is σ = 369127342080. Its totient is φ = 28811934720.

The previous prime is 130313033063. The next prime is 130313033141. The reversal of 130313033130 is 31330313031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 130313033097 and 130313033106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24598642 + ... + 24603938.

It is an arithmetic number, because the mean of its divisors is an integer number (2883807360).

Almost surely, 2130313033130 is an apocalyptic number.

130313033130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130313033130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184563671040).

130313033130 is an abundant number, since it is smaller than the sum of its proper divisors (238814308950).

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

130313033130 is a wasteful number, since it uses less digits than its factorization.

130313033130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 130313033130 its reverse (31330313031), we get a palindrome (161643346161).

The spelling of 130313033130 in words is "one hundred thirty billion, three hundred thirteen million, thirty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 3779 5297 6510 7558 10594 11337 15891 18895 22674 26453 26485 31782 37079 37790 52906 52970 56685 74158 79359 79455 111237 113370 117149 132265 158718 158910 164207 185395 222474 234298 264530 328414 351447 370790 396795 492621 556185 585745 702894 793590 820043 821035 985242 1112370 1149449 1171490 1640086 1642070 1757235 2298898 2460129 2463105 3448347 3514470 4100215 4920258 4926210 5747245 6896694 8200430 11494490 12300645 17241735 20017363 24601290 34483470 40034726 60052089 100086815 120104178 140121541 200173630 280243082 300260445 420364623 600520890 620538253 700607705 840729246 1241076506 1401215410 1861614759 2101823115 3102691265 3723229518 4203646230 4343767771 6205382530 8687535542 9308073795 13031303313 18616147590 21718838855 26062606626 43437677710 65156516565 130313033130