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130012220 = 225132943401
BaseRepresentation
bin1111011111111…
…01010000111100
3100001122022020102
413233331100330
5231240342340
620522340232
73136041242
oct757752074
9301568212
10130012220
1167430118
123765a678
1320c21210
14133a4792
15b632215
hex7bfd43c

130012220 has 96 divisors (see below), whose sum is σ = 312016320. Its totient is φ = 45158400.

The previous prime is 130012213. The next prime is 130012229. The reversal of 130012220 is 22210031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130012229) 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, 324020 + ... + 324420.

It is an arithmetic number, because the mean of its divisors is an integer number (3250170).

Almost surely, 2130012220 is an apocalyptic number.

130012220 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 130012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156008160).

130012220 is an abundant number, since it is smaller than the sum of its proper divisors (182004100).

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

130012220 is a wasteful number, since it uses less digits than its factorization.

130012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 130012220 is about 11402.2901208485. The cubic root of 130012220 is about 506.5955742434.

Adding to 130012220 its reverse (22210031), we get a palindrome (152222251).

The spelling of 130012220 in words is "one hundred thirty million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 29 43 52 58 65 86 116 130 145 172 215 260 290 377 401 430 559 580 754 802 860 1118 1247 1508 1604 1885 2005 2236 2494 2795 3770 4010 4988 5213 5590 6235 7540 8020 10426 11180 11629 12470 16211 17243 20852 23258 24940 26065 32422 34486 46516 52130 58145 64844 68972 81055 86215 104260 116290 151177 162110 172430 224159 232580 302354 324220 344860 448318 500047 604708 755885 896636 1000094 1120795 1511770 2000188 2241590 2500235 3023540 4483180 5000470 6500611 10000940 13001222 26002444 32503055 65006110 130012220