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130037220 = 223255571297
BaseRepresentation
bin1111100000000…
…11010111100100
3100001200120112100
413300003113210
5231242142340
620523052100
73136204155
oct760032744
9301616470
10130037220
1167447985
1237671030
1320c2c701
14133ad92c
15b639830
hex7c035e4

130037220 has 72 divisors (see below), whose sum is σ = 395459064. Its totient is φ = 34587648.

The previous prime is 130037213. The next prime is 130037227. The reversal of 130037220 is 22730031.

It is an interprime number because it is at equal distance from previous prime (130037213) and next prime (130037227).

It can be written as a sum of positive squares in 4 ways, for example, as 24029604 + 106007616 = 4902^2 + 10296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130037193 and 130037202.

It is not an unprimeable number, because it can be changed into a prime (130037227) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 99612 + ... + 100908.

It is an arithmetic number, because the mean of its divisors is an integer number (5492487).

Almost surely, 2130037220 is an apocalyptic number.

130037220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130037220 is an abundant number, since it is smaller than the sum of its proper divisors (265421844).

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

130037220 is a wasteful number, since it uses less digits than its factorization.

130037220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1869 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 130037220 is about 11403.3863391538. The cubic root of 130037220 is about 506.6280431854.

Adding to 130037220 its reverse (22730031), we get a palindrome (152767251).

The spelling of 130037220 in words is "one hundred thirty million, thirty-seven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 557 1114 1297 1671 2228 2594 2785 3342 3891 5013 5188 5570 6485 6684 7782 8355 10026 11140 11673 12970 15564 16710 19455 20052 23346 25065 25940 33420 38910 46692 50130 58365 77820 100260 116730 233460 722429 1444858 2167287 2889716 3612145 4334574 6501861 7224290 8669148 10836435 13003722 14448580 21672870 26007444 32509305 43345740 65018610 130037220