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2123013313212 = 22311229227222107
BaseRepresentation
bin11110111001001101011…
…101000101001010111100
321111221212110002122002120
4132321031131011022330
5234240412402010322
64303144315122540
7306245151262131
oct36711535051274
97457773078076
102123013313212
11749401739800
122a3554a43450
13125278b148bc
1474a7c0a6588
153a3577a6a5c
hex1ee4d7452bc

2123013313212 has 144 divisors (see below), whose sum is σ = 5657570513280. Its totient is φ = 618414177920.

The previous prime is 2123013313159. The next prime is 2123013313243. The reversal of 2123013313212 is 2123133103212.

It is a super-2 number, since 2×21230133132122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9447463 + ... + 9669569.

It is an arithmetic number, because the mean of its divisors is an integer number (39288684120).

Almost surely, 22123013313212 is an apocalyptic number.

2123013313212 is a gapful number since it is divisible by the number (22) 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 2123013313212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2828785256640).

2123013313212 is an abundant number, since it is smaller than the sum of its proper divisors (3534557200068).

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

2123013313212 is a wasteful number, since it uses less digits than its factorization.

2123013313212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222392 (or 222379 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2123013313212 its reverse (2123133103212), we get a palindrome (4246146416424).

The spelling of 2123013313212 in words is "two trillion, one hundred twenty-three billion, thirteen million, three hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 121 132 174 227 242 319 348 363 454 484 638 681 726 908 957 1276 1362 1452 1914 2497 2724 3509 3828 4994 6583 7018 7491 9988 10527 13166 14036 14982 19749 21054 26332 27467 29964 39498 42108 54934 72413 78996 82401 109868 144826 164802 217239 222107 289652 329604 434478 444214 666321 796543 868956 888428 1332642 1593086 2389629 2443177 2665284 3186172 4779258 4886354 6441103 7329531 9558516 9772708 12882206 14659062 19323309 25764412 26874947 29318124 38646618 50418289 53749894 70852133 77293236 80624841 100836578 107499788 141704266 151254867 161249682 201673156 212556399 283408532 302509734 322499364 425112798 554601179 605019468 779373463 850225596 1109202358 1462130381 1558746926 1663803537 2218404716 2338120389 2924260762 3117493852 3327607074 4386391143 4676240778 5848521524 6100612969 6655214148 8772782286 9352481556 12201225938 16083434191 17545564572 18301838907 24402451876 32166868382 36603677814 48250302573 64333736764 73207355628 96500605146 176917776101 193001210292 353835552202 530753328303 707671104404 1061506656606 2123013313212