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130301213132100 = 2235219131174502763
BaseRepresentation
bin11101101000001000011101…
…100001011100010101000100
3122002100200012120122210220110
4131220020131201130111010
5114034323341030211400
61141043315000433020
736305644350115323
oct3550103541342504
9562320176583813
10130301213132100
113857748595a63a
12127452b8778770
13579247582562a
14242688048c0ba
15100e6784d8e50
hex76821d85c544

130301213132100 has 144 divisors (see below), whose sum is σ = 399876573761280. Its totient is φ = 32666917046400.

The previous prime is 130301213132047. The next prime is 130301213132137. The reversal of 130301213132100 is 1231312103031.

It is a happy number.

It is a super-2 number, since 2×1303012131321002 (a number of 29 digits) contains 22 as substring.

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, 86504682 + ... + 87998081.

It is an arithmetic number, because the mean of its divisors is an integer number (2776920651120).

Almost surely, 2130301213132100 is an apocalyptic number.

130301213132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130301213132100 is an abundant number, since it is smaller than the sum of its proper divisors (269575360629180).

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

130301213132100 is a wasteful number, since it uses less digits than its factorization.

130301213132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174502930 (or 174502923 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 130301213132100 its reverse (1231312103031), we get a palindrome (131532525235131).

The spelling of 130301213132100 in words is "one hundred thirty trillion, three hundred one billion, two hundred thirteen million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 131 150 190 228 262 285 300 380 393 475 524 570 655 786 950 1140 1310 1425 1572 1900 1965 2489 2620 2850 3275 3930 4978 5700 6550 7467 7860 9825 9956 12445 13100 14934 19650 24890 29868 37335 39300 49780 62225 74670 124450 149340 186675 248900 373350 746700 174502763 349005526 523508289 698011052 872513815 1047016578 1745027630 2094033156 2617541445 3315552497 3490055260 4362569075 5235082890 6631104994 8725138150 9946657491 10470165780 13087707225 13262209988 16577762485 17450276300 19893314982 22859861953 26175414450 33155524970 39786629964 45719723906 49733287455 52350828900 66311049940 68579585859 82888812425 91439447812 99466574910 114299309765 137159171718 165777624850 198933149820 228598619530 248666437275 274318343436 331555249700 342897929295 434337377107 457197239060 497332874550 571496548825 685795858590 868674754214 994665749100 1142993097650 1303012131321 1371591717180 1714489646475 1737349508428 2171686885535 2285986195300 2606024262642 3428979292950 4343373771070 5212048525284 6515060656605 6857958585900 8686747542140 10858434427675 13030121313210 21716868855350 26060242626420 32575303283025 43433737710700 65150606566050 130301213132100