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112002200210120 = 235111032699915659
BaseRepresentation
bin11001011101110110001011…
…010110111000101011001000
3112200120022020220110212221212
4121131312023112320223020
5104140021001223210440
61034113033410552252
732406614634510443
oct3135661326705310
9480508226425855
10112002200210120
1132761959144450
121068a93a298688
134a659ba60b9bc
141d92d14ac465a
15ce367a94e465
hex65dd8b5b8ac8

112002200210120 has 128 divisors (see below), whose sum is σ = 277686714240000. Its totient is φ = 40317667034880.

The previous prime is 112002200210113. The next prime is 112002200210143. The reversal of 112002200210120 is 21012002200211.

It is a junction number, because it is equal to n+sod(n) for n = 112002200210095 and 112002200210104.

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, 121860851 + ... + 122776509.

It is an arithmetic number, because the mean of its divisors is an integer number (2169427455000).

Almost surely, 2112002200210120 is an apocalyptic number.

112002200210120 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 112002200210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138843357120000).

112002200210120 is an abundant number, since it is smaller than the sum of its proper divisors (165684514029880).

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

112002200210120 is a wasteful number, since it uses less digits than its factorization.

112002200210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918483 (or 918479 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112002200210120 its reverse (21012002200211), we get a palindrome (133014202410331).

The spelling of 112002200210120 in words is "one hundred twelve trillion, two billion, two hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 412 440 515 824 1030 1133 2060 2266 2699 4120 4532 5398 5665 9064 10796 11330 13495 21592 22660 26990 29689 45320 53980 59378 107960 118756 148445 237512 277997 296890 555994 593780 915659 1111988 1187560 1389985 1831318 2223976 2779970 3057967 3662636 4578295 5559940 6115934 7325272 9156590 10072249 11119880 12231868 15289835 18313180 20144498 24463736 30579670 36626360 40288996 50361245 61159340 80577992 94312877 100722490 122318680 188625754 201444980 377251508 402889960 471564385 754503016 943128770 1037441647 1886257540 2074883294 2471363641 3772515080 4149766588 4942727282 5187208235 8299533176 9885454564 10374416470 12356818205 19770909128 20748832940 24713636410 27185000051 41497665880 49427272820 54370000102 98854545640 108740000204 135925000255 217480000408 254550455023 271850000510 509100910046 543700001020 1018201820092 1087400002040 1272752275115 2036403640184 2545504550230 2800055005253 5091009100460 5600110010506 10182018200920 11200220021012 14000275026265 22400440042024 28000550052530 56001100105060 112002200210120