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130220331220 = 225723074191033
BaseRepresentation
bin111100101000110111…
…1001001000011010100
3110110010021112020020101
41321101233021003110
54113142401044340
6135453345343444
712256660360300
oct1712157110324
9413107466211
10130220331220
1150253a89251
12212a2637b84
13c383729c35
146434860d00
1535c2386c9a
hex1e51bc90d4

130220331220 has 144 divisors (see below), whose sum is σ = 320217226560. Its totient is φ = 44352354816.

The previous prime is 130220331209. The next prime is 130220331229. The reversal of 130220331220 is 22133022031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130220331229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126059824 + ... + 126060856.

It is an arithmetic number, because the mean of its divisors is an integer number (2223730740).

Almost surely, 2130220331220 is an apocalyptic number.

130220331220 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 130220331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160108613280).

130220331220 is an abundant number, since it is smaller than the sum of its proper divisors (189996895340).

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

130220331220 is a wasteful number, since it uses less digits than its factorization.

130220331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 130220331220 its reverse (22133022031), we get a palindrome (152353353251).

The spelling of 130220331220 in words is "one hundred thirty billion, two hundred twenty million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 307 419 490 614 838 980 1033 1228 1535 1676 2066 2095 2149 2933 3070 4132 4190 4298 5165 5866 6140 7231 8380 8596 10330 10745 11732 14462 14665 15043 20531 20660 21490 28924 29330 30086 36155 41062 42980 50617 58660 60172 72310 75215 82124 101234 102655 128633 144620 150430 202468 205310 253085 257266 300860 317131 410620 432827 506170 514532 634262 643165 865654 900431 1012340 1268524 1286330 1585655 1731308 1800862 2164135 2219917 2572660 3029789 3171310 3601724 4328270 4439834 4502155 6059578 6303017 6342620 8656540 8879668 9004310 11099585 12119156 12606034 15148945 15539419 18008620 21208523 22199170 25212068 30297890 31078838 31515085 42417046 44398340 60595780 62157676 63030170 77697095 84834092 106042615 126060340 132877889 155394190 212085230 265755778 310788380 424170460 531511556 664389445 930145223 1328778890 1860290446 2657557780 3720580892 4650726115 6511016561 9301452230 13022033122 18602904460 26044066244 32555082805 65110165610 130220331220