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130109100 = 223521189443
BaseRepresentation
bin1111100000101…
…00111010101100
3100001211020010120
413300110322230
5231301442400
620524404540
73136623552
oct760247254
9301736116
10130109100
1167496990
12376a6750
1320c56344
14133cbbd2
15b650ca0
hex7c14eac

130109100 has 144 divisors (see below), whose sum is σ = 416223360. Its totient is φ = 31116800.

The previous prime is 130109047. The next prime is 130109123. The reversal of 130109100 is 1901031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130109100.

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, 293479 + ... + 293921.

It is an arithmetic number, because the mean of its divisors is an integer number (2890440).

Almost surely, 2130109100 is an apocalyptic number.

130109100 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 130109100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208111680).

130109100 is an abundant number, since it is smaller than the sum of its proper divisors (286114260).

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

130109100 is a wasteful number, since it uses less digits than its factorization.

130109100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 130109100 is about 11406.5375991139. The cubic root of 130109100 is about 506.7213747097.

The spelling of 130109100 in words is "one hundred thirty million, one hundred nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 89 100 110 132 150 165 178 220 267 275 300 330 356 443 445 534 550 660 825 886 890 979 1068 1100 1329 1335 1650 1772 1780 1958 2215 2225 2658 2670 2937 3300 3916 4430 4450 4873 4895 5316 5340 5874 6645 6675 8860 8900 9746 9790 11075 11748 13290 13350 14619 14685 19492 19580 22150 24365 24475 26580 26700 29238 29370 33225 39427 44300 48730 48950 58476 58740 66450 73095 73425 78854 97460 97900 118281 121825 132900 146190 146850 157708 197135 236562 243650 292380 293700 365475 394270 433697 473124 487300 591405 730950 788540 867394 985675 1182810 1301091 1461900 1734788 1971350 2168485 2365620 2602182 2957025 3942700 4336970 5204364 5914050 6505455 8673940 10842425 11828100 13010910 21684850 26021820 32527275 43369700 65054550 130109100