Search a number
-
+
13000220300100 = 223521134911287853
BaseRepresentation
bin1011110100101101100110…
…0000110101001101000100
31201000210211201000221012110
42331023121200311031010
53200443422344100400
643352115130221020
72511143402204625
oct275133140651504
951023751027173
1013000220300100
1141623a94984a0
12155b643584770
13733bb94cc5c7
1432d2dd3ada4c
15178273ba0e50
hexbd2d9835344

13000220300100 has 144 divisors (see below), whose sum is σ = 41151000542400. Its totient is φ = 3142537996800.

The previous prime is 13000220300071. The next prime is 13000220300147. The reversal of 13000220300100 is 100302200031.

It is a happy number.

It is a super-2 number, since 2×130002203001002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 4492227 + ... + 6795626.

It is an arithmetic number, because the mean of its divisors is an integer number (285770837100).

Almost surely, 213000220300100 is an apocalyptic number.

13000220300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13000220300100 is an abundant number, since it is smaller than the sum of its proper divisors (28150780242300).

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

13000220300100 is a wasteful number, since it uses less digits than its factorization.

13000220300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288230 (or 11288223 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13000220300100 its reverse (100302200031), we get a palindrome (13100522500131).

The spelling of 13000220300100 in words is "thirteen trillion, two hundred twenty million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 349 550 660 698 825 1047 1100 1396 1650 1745 2094 3300 3490 3839 4188 5235 6980 7678 8725 10470 11517 15356 17450 19195 20940 23034 26175 34900 38390 46068 52350 57585 76780 95975 104700 115170 191950 230340 287925 383900 575850 1151700 11287853 22575706 33863559 45151412 56439265 67727118 112878530 124166383 135454236 169317795 225757060 248332766 282196325 338635590 372499149 496665532 564392650 620831915 677271180 744998298 846588975 1128785300 1241663830 1489996596 1693177950 1862495745 2483327660 3104159575 3386355900 3724991490 3939460697 6208319150 7449982980 7878921394 9312478725 11818382091 12416638300 15757842788 18624957450 19697303485 23636764182 37249914900 39394606970 43334067667 47273528364 59091910455 78789213940 86668135334 98486517425 118183820910 130002203001 173336270668 196973034850 216670338335 236367641820 260004406002 295459552275 393946069700 433340676670 520008812004 590919104550 650011015005 866681353340 1083351691675 1181838209100 1300022030010 2166703383350 2600044060020 3250055075025 4333406766700 6500110150050 13000220300100