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130111310220 = 2235157109312637
BaseRepresentation
bin111100100101100111…
…1010000100110001100
3110102211200101101112120
41321023033100212030
54112431443411340
6135434452532540
712254164613643
oct1711317204614
9412750341476
10130111310220
11501a8496151
1221272021150
13c366c78378
1464241a235a
1535b79ee4d0
hex1e4b3d098c

130111310220 has 96 divisors (see below), whose sum is σ = 366996600768. Its totient is φ = 34441085952.

The previous prime is 130111310213. The next prime is 130111310221. The reversal of 130111310220 is 22013111031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130111310220.

It is not an unprimeable number, because it can be changed into a prime (130111310221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10289742 + ... + 10302378.

It is an arithmetic number, because the mean of its divisors is an integer number (3822881258).

Almost surely, 2130111310220 is an apocalyptic number.

130111310220 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 130111310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183498300384).

130111310220 is an abundant number, since it is smaller than the sum of its proper divisors (236885290548).

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

130111310220 is a wasteful number, since it uses less digits than its factorization.

130111310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899 (or 13897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 130111310220 its reverse (22013111031), we get a palindrome (152124421251).

It can be divided in two parts, 13011 and 1310220, that added together give a palindrome (1323231).

The spelling of 130111310220 in words is "one hundred thirty billion, one hundred eleven million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1093 1570 1884 2186 2355 3140 3279 4372 4710 5465 6558 9420 10930 12637 13116 16395 21860 25274 32790 37911 50548 63185 65580 75822 126370 151644 171601 189555 252740 343202 379110 514803 686404 758220 858005 1029606 1716010 1984009 2059212 2574015 3432020 3968018 5148030 5952027 7936036 9920045 10296060 11904054 13812241 19840090 23808108 27624482 29760135 39680180 41436723 55248964 59520270 69061205 82873446 119040540 138122410 165746892 207183615 276244820 414367230 828734460 2168521837 4337043674 6505565511 8674087348 10842609185 13011131022 21685218370 26022262044 32527827555 43370436740 65055655110 130111310220