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130031220 = 223511271727
BaseRepresentation
bin1111100000000…
…01111001110100
3100001200021022010
413300001321310
5231241444340
620523004220
73136150524
oct760017164
9301607263
10130031220
1167443420
1237669670
1320c29a67
14133ab684
15b637b80
hex7c01e74

130031220 has 96 divisors (see below), whose sum is σ = 399200256. Its totient is φ = 31363200.

The previous prime is 130031197. The next prime is 130031233. The reversal of 130031220 is 22130031.

It is a happy number.

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 = 130031196 and 130031205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178497 + ... + 179223.

It is an arithmetic number, because the mean of its divisors is an integer number (4158336).

Almost surely, 2130031220 is an apocalyptic number.

130031220 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 130031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199600128).

130031220 is an abundant number, since it is smaller than the sum of its proper divisors (269169036).

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

130031220 is a wasteful number, since it uses less digits than its factorization.

130031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1019 counting only the distinct ones).

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

The square root of 130031220 is about 11403.1232563715. The cubic root of 130031220 is about 506.6202510189.

Adding to 130031220 its reverse (22130031), we get a palindrome (152161251).

The spelling of 130031220 in words is "one hundred thirty million, thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 271 330 542 660 727 813 1084 1355 1454 1626 2181 2710 2908 2981 3252 3635 4065 4362 5420 5962 7270 7997 8130 8724 8943 10905 11924 14540 14905 15994 16260 17886 21810 23991 29810 31988 35772 39985 43620 44715 47982 59620 79970 89430 95964 119955 159940 178860 197017 239910 394034 479820 591051 788068 985085 1182102 1970170 2167187 2364204 2955255 3940340 4334374 5910510 6501561 8668748 10835935 11821020 13003122 21671870 26006244 32507805 43343740 65015610 130031220