Search a number
-
+
130312120120 = 23571335800033
BaseRepresentation
bin111100101011100110…
…1010010011100111000
3110110100200020120221021
41321113031102130320
54113334400320440
6135510424552224
712262153513360
oct1712715223470
9413320216837
10130312120120
11502a0881646
1221309322674
13c3997571b0
146442b159a0
1535ca46884a
hex1e57352738

130312120120 has 64 divisors (see below), whose sum is σ = 360864342720. Its totient is φ = 41241636864.

The previous prime is 130312120079. The next prime is 130312120129. The reversal of 130312120120 is 21021213031.

It is a junction number, because it is equal to n+sod(n) for n = 130312120094 and 130312120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130312120129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17896377 + ... + 17903656.

It is an arithmetic number, because the mean of its divisors is an integer number (5638505355).

Almost surely, 2130312120120 is an apocalyptic number.

130312120120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130312120120 is an abundant number, since it is smaller than the sum of its proper divisors (230552222600).

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

130312120120 is a wasteful number, since it uses less digits than its factorization.

130312120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35800064 (or 35800060 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 130312120120 its reverse (21021213031), we get a palindrome (151333333151).

The spelling of 130312120120 in words is "one hundred thirty billion, three hundred twelve million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 35800033 71600066 143200132 179000165 250600231 286400264 358000330 465400429 501200462 716000660 930800858 1002400924 1253001155 1432001320 1861601716 2004801848 2327002145 2506002310 3257803003 3723203432 4654004290 5012004620 6515606006 9308008580 10024009240 13031212012 16289015015 18616017160 26062424024 32578030030 65156060060 130312120120