Search a number
-
+
203222100110120 = 235713382114611423
BaseRepresentation
bin101110001101010001010101…
…000101100110101100101000
3222122112211202120102221020222
4232031101111011212230220
5203114042330112010440
62000114535521105212
760543212042335550
oct5615212505465450
9878484676387228
10203222100110120
1159831010583043
121a96197a188208
1389519b9911890
143828005b9c160
15187641705d2b5
hexb8d455166b28

203222100110120 has 128 divisors (see below), whose sum is σ = 562916214282240. Its totient is φ = 64299608110080.

The previous prime is 203222100110063. The next prime is 203222100110207. The reversal of 203222100110120 is 21011001222302.

It is a super-2 number, since 2×2032221001101202 (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 31 ways as a sum of consecutive naturals, for example, 6602729 + ... + 21214151.

It is an arithmetic number, because the mean of its divisors is an integer number (4397782924080).

Almost surely, 2203222100110120 is an apocalyptic number.

203222100110120 is a gapful number since it is divisible by the number (20) 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 203222100110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281458107141120).

203222100110120 is an abundant number, since it is smaller than the sum of its proper divisors (359694114172120).

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

203222100110120 is a wasteful number, since it uses less digits than its factorization.

203222100110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14615275 (or 14615271 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 203222100110120 its reverse (21011001222302), we get a palindrome (224233101332422).

The spelling of 203222100110120 in words is "two hundred three trillion, two hundred twenty-two billion, one hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 3821 7642 15284 19105 26747 30568 38210 49673 53494 76420 99346 106988 133735 152840 198692 213976 248365 267470 347711 397384 496730 534940 695422 993460 1069880 1390844 1738555 1986920 2781688 3477110 6954220 13908440 14611423 29222846 58445692 73057115 102279961 116891384 146114230 189948499 204559922 292228460 379896998 409119844 511399805 584456920 759793996 818239688 949742495 1022799610 1329639493 1519587992 1899484990 2045599220 2659278986 3798969980 4091198440 5318557972 6648197465 7597939960 10637115944 13296394930 26592789860 53185579720 55830247283 111660494566 223320989132 279151236415 390811730981 446641978264 558302472830 725793214679 781623461962 1116604945660 1451586429358 1563246923924 1954058654905 2233209891320 2903172858716 3126493847848 3628966073395 3908117309810 5080552502753 5806345717432 7257932146790 7816234619620 10161105005506 14515864293580 15632469239240 20322210011012 25402762513765 29031728587160 40644420022024 50805525027530 101611050055060 203222100110120