Search a number
-
+
201102110210120 = 23574160728859317
BaseRepresentation
bin101101101110011010111011…
…110101111011100001001000
3222101001011200211102121101112
4231232122323311323201020
5202324324110203210440
61551413011204105452
760234101522452250
oct5556327365734110
9871034624377345
10201102110210120
1159093a20546449
121a67ab29995288
138829b032bb3a2
143793573474960
15183b1d9e22965
hexb6e6bbd7b848

201102110210120 has 128 divisors (see below), whose sum is σ = 530605112002560. Its totient is φ = 67156782704640.

The previous prime is 201102110210077. The next prime is 201102110210153. The reversal of 201102110210120 is 21012011201102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201102110210095 and 201102110210104.

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, 7461299 + ... + 21398018.

It is an arithmetic number, because the mean of its divisors is an integer number (4145352437520).

Almost surely, 2201102110210120 is an apocalyptic number.

201102110210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102110210120 is an abundant number, since it is smaller than the sum of its proper divisors (329503001792440).

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

201102110210120 is a wasteful number, since it uses less digits than its factorization.

201102110210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28859983 (or 28859979 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 201102110210120 its reverse (21012011201102), we get a palindrome (222114121411222).

The spelling of 201102110210120 in words is "two hundred one trillion, one hundred two billion, one hundred ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 607 820 1148 1214 1435 1640 2296 2428 2870 3035 4249 4856 5740 6070 8498 11480 12140 16996 21245 24280 24887 33992 42490 49774 84980 99548 124435 169960 174209 199096 248870 348418 497740 696836 871045 995480 1393672 1742090 3484180 6968360 28859317 57718634 115437268 144296585 202015219 230874536 288593170 404030438 577186340 808060876 1010076095 1154372680 1183231997 1616121752 2020152190 2366463994 4040304380 4732927988 5916159985 8080608760 8282623979 9465855976 11832319970 16565247958 17517605419 23664639940 33130495916 35035210838 41413119895 47329279880 66260991832 70070421676 82826239790 87588027095 122623237933 140140843352 165652479580 175176054190 245246475866 331304959160 350352108380 490492951732 613116189665 700704216760 718221822179 980985903464 1226232379330 1436443644358 2452464758660 2872887288716 3591109110895 4904929517320 5027552755253 5745774577432 7182218221790 10055105510506 14364436443580 20110211021012 25137763776265 28728872887160 40220422042024 50275527552530 100551055105060 201102110210120