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130221140 = 22571078693
BaseRepresentation
bin1111100001100…
…00010001010100
3100002000220211012
413300300101110
5231314034030
620531031352
73140601320
oct760602124
9302026735
10130221140
1167563085
123773b558
1320c9533a
141341a980
15b674095
hex7c30454

130221140 has 48 divisors (see below), whose sum is σ = 315487872. Its totient is φ = 44224896.

The previous prime is 130221121. The next prime is 130221187. The reversal of 130221140 is 41122031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10634 + ... + 19326.

It is an arithmetic number, because the mean of its divisors is an integer number (6572664).

Almost surely, 2130221140 is an apocalyptic number.

130221140 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 130221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157743936).

130221140 is an abundant number, since it is smaller than the sum of its proper divisors (185266732).

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

130221140 is a wasteful number, since it uses less digits than its factorization.

130221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8816 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 130221140 is about 11411.4477609110. The cubic root of 130221140 is about 506.8667828695.

Adding to 130221140 its reverse (41122031), we get a palindrome (171343171).

The spelling of 130221140 in words is "one hundred thirty million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 7490 8693 14980 17386 34772 43465 60851 86930 121702 173860 243404 304255 608510 930151 1217020 1860302 3720604 4650755 6511057 9301510 13022114 18603020 26044228 32555285 65110570 130221140