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2112033023320 = 2351119155745119
BaseRepresentation
bin11110101110111110111…
…110100110010101011000
321110220112012202010001011
4132232332332212111120
5234100420423221240
64254130553303304
7305406101330143
oct36567676462530
97426465663034
102112033023320
11744787643460
122a13ab704b34
13124218ccb74c
1474319a8705a
1539e1380c6ea
hex1ebbefa6558

2112033023320 has 128 divisors (see below), whose sum is σ = 5220694425600. Its totient is φ = 762602483200.

The previous prime is 2112033023293. The next prime is 2112033023341. The reversal of 2112033023320 is 233203302112.

It is a super-3 number, since 3×21120330233203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2112033023291 and 2112033023300.

It is a congruent number.

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, 46787721 + ... + 46832839.

It is an arithmetic number, because the mean of its divisors is an integer number (40786675200).

Almost surely, 22112033023320 is an apocalyptic number.

2112033023320 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 2112033023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610347212800).

2112033023320 is an abundant number, since it is smaller than the sum of its proper divisors (3108661402280).

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

2112033023320 is a wasteful number, since it uses less digits than its factorization.

2112033023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45889 (or 45885 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2112033023320 its reverse (233203302112), we get a palindrome (2345236325432).

The spelling of 2112033023320 in words is "two trillion, one hundred twelve billion, thirty-three million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 191 220 382 440 557 764 955 1114 1528 1910 2101 2228 2785 3820 4202 4456 5570 6127 7640 8404 10505 11140 12254 16808 21010 22280 24508 30635 42020 45119 49016 61270 84040 90238 106387 122540 180476 212774 225595 245080 360952 425548 451190 496309 531935 851096 902380 992618 1063870 1170257 1804760 1985236 2127740 2340514 2481545 3970472 4255480 4681028 4963090 5851285 8617729 9362056 9926180 11702570 17235458 19852360 23405140 25131283 34470916 43088645 46810280 50262566 68941832 86177290 94795019 100525132 125656415 172354580 189590038 201050264 251312830 276444113 344709160 379180076 473975095 502625660 552888226 758360152 947950190 1005251320 1105776452 1382220565 1895900380 2211552904 2764441130 3791800760 4800075053 5528882260 9600150106 11057764520 19200300212 24000375265 38400600424 48000750530 52800825583 96001501060 105601651166 192003002120 211203302332 264004127915 422406604664 528008255830 1056016511660 2112033023320