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130002220 = 22531307683
BaseRepresentation
bin1111011111110…
…10110100101100
3100001121210112001
413233322310230
5231240032340
620522222044
73136000135
oct757726454
9301553461
10130002220
1167423657
1237654924
1320c197ba
14133a0c8c
15b62e29a
hex7bfad2c

130002220 has 48 divisors (see below), whose sum is σ = 283143168. Its totient is φ = 50086080.

The previous prime is 130002203. The next prime is 130002221. The reversal of 130002220 is 22200031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 130002197 and 130002206.

It is not an unprimeable number, because it can be changed into a prime (130002221) 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, 189999 + ... + 190681.

It is an arithmetic number, because the mean of its divisors is an integer number (5898816).

Almost surely, 2130002220 is an apocalyptic number.

130002220 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 130002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141571584).

130002220 is an abundant number, since it is smaller than the sum of its proper divisors (153140948).

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

130002220 is a wasteful number, since it uses less digits than its factorization.

130002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 130002220 is about 11401.8516040159. The cubic root of 130002220 is about 506.5825855012.

Adding to 130002220 its reverse (22200031), we get a palindrome (152202251).

The spelling of 130002220 in words is "one hundred thirty million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 307 310 614 620 683 1228 1366 1535 2732 3070 3415 6140 6830 9517 13660 19034 21173 38068 42346 47585 84692 95170 105865 190340 209681 211730 419362 423460 838724 1048405 2096810 4193620 6500111 13000222 26000444 32500555 65001110 130002220