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130130220 = 223511712777
BaseRepresentation
bin1111100000110…
…10000100101100
3100001212022002210
413300122010230
5231303131340
620525050420
73140042253
oct760320454
9301768083
10130130220
1167500840
12376b6a10
1320c62b3c
14133d579a
15b657180
hex7c1a12c

130130220 has 96 divisors (see below), whose sum is σ = 403232256. Its totient is φ = 31091200.

The previous prime is 130130213. The next prime is 130130227. The reversal of 130130220 is 22031031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130130213) and next prime (130130227).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130130196 and 130130205.

It is not an unprimeable number, because it can be changed into a prime (130130227) 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, 45472 + ... + 48248.

It is an arithmetic number, because the mean of its divisors is an integer number (4200336).

Almost surely, 2130130220 is an apocalyptic number.

130130220 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 130130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201616128).

130130220 is an abundant number, since it is smaller than the sum of its proper divisors (273102036).

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

130130220 is a wasteful number, since it uses less digits than its factorization.

130130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2869 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 130130220 is about 11407.4633464237. The cubic root of 130130220 is about 506.7487911277.

Adding to 130130220 its reverse (22031031), we get a palindrome (152161251).

The spelling of 130130220 in words is "one hundred thirty million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 2777 3124 3905 4260 4686 5554 7810 8331 9372 11108 11715 13885 15620 16662 23430 27770 30547 33324 41655 46860 55540 61094 83310 91641 122188 152735 166620 183282 197167 305470 366564 394334 458205 591501 610940 788668 916410 985835 1183002 1832820 1971670 2168837 2366004 2957505 3943340 4337674 5915010 6506511 8675348 10844185 11830020 13013022 21688370 26026044 32532555 43376740 65065110 130130220