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130100220 = 2232519109349
BaseRepresentation
bin1111100000100…
…10101111111100
3100001210202221200
413300102233330
5231301201340
620524255500
73136555635
oct760225774
9301722850
10130100220
1167490248
12376a1590
1320c522a3
14133c888c
15b64d330
hex7c12bfc

130100220 has 144 divisors (see below), whose sum is σ = 420420000. Its totient is φ = 32472576.

The previous prime is 130100209. The next prime is 130100233. The reversal of 130100220 is 22001031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372606 + ... + 372954.

Almost surely, 2130100220 is an apocalyptic number.

130100220 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 130100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210210000).

130100220 is an abundant number, since it is smaller than the sum of its proper divisors (290319780).

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

130100220 is a wasteful number, since it uses less digits than its factorization.

130100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130100220 is about 11406.1483420127. The cubic root of 130100220 is about 506.7098464662.

Adding to 130100220 its reverse (22001031), we get a palindrome (152101251).

The spelling of 130100220 in words is "one hundred thirty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 109 114 171 180 190 218 228 285 327 342 349 380 436 545 570 654 684 698 855 981 1047 1090 1140 1308 1396 1635 1710 1745 1962 2071 2094 2180 3141 3270 3420 3490 3924 4142 4188 4905 5235 6213 6282 6540 6631 6980 8284 9810 10355 10470 12426 12564 13262 15705 18639 19620 19893 20710 20940 24852 26524 31065 31410 33155 37278 38041 39786 41420 59679 62130 62820 66310 74556 76082 79572 93195 99465 114123 119358 124260 132620 152164 186390 190205 198930 228246 238716 298395 342369 372780 380410 397860 456492 570615 596790 684738 722779 760820 1141230 1193580 1369476 1445558 1711845 2168337 2282460 2891116 3423690 3613895 4336674 6505011 6847380 7227790 8673348 10841685 13010022 14455580 21683370 26020044 32525055 43366740 65050110 130100220