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212341202200344 = 23372672694958907
BaseRepresentation
bin110000010001111110001001…
…111011011010011100011000
31000211211121202110211211110010
4300101332021323122130120
5210312444240230402334
62031340111314521520
762504100640224600
oct6021761173323430
91024747673754403
10212341202200344
1161727441a11398
121b995192b962a0
1391638c6944769
143a61524855c00
1519837369780e9
hexc11f89eda718

212341202200344 has 96 divisors (see below), whose sum is σ = 626739643644480. Its totient is φ = 59763408699456.

The previous prime is 212341202200343. The next prime is 212341202200397. The reversal of 212341202200344 is 443002202143212.

212341202200344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2123412022003442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212341202200343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1347400662 + ... + 1347558245.

It is an arithmetic number, because the mean of its divisors is an integer number (6528537954630).

Almost surely, 2212341202200344 is an apocalyptic number.

212341202200344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212341202200344 is an abundant number, since it is smaller than the sum of its proper divisors (414398441444136).

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

212341202200344 is a wasteful number, since it uses less digits than its factorization.

212341202200344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694958997 (or 2694958986 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 212341202200344 its reverse (443002202143212), we get a palindrome (655343404343556).

The spelling of 212341202200344 in words is "two hundred twelve trillion, three hundred forty-one billion, two hundred two million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 67 84 98 134 147 168 196 201 268 294 392 402 469 536 588 804 938 1176 1407 1608 1876 2814 3283 3752 5628 6566 9849 11256 13132 19698 26264 39396 78792 2694958907 5389917814 8084876721 10779835628 16169753442 18864712349 21559671256 32339506884 37729424698 56594137047 64679013768 75458849396 113188274094 132052986443 150917698792 180562246769 226376548188 264105972886 361124493538 396158959329 452753096376 528211945772 541686740307 722248987076 792317918658 1056423891544 1083373480614 1263935727383 1444497974152 1584635837316 2166746961228 2527871454766 3169271674632 3791807182149 4333493922456 5055742909532 7583614364298 8847550091681 10111485819064 15167228728596 17695100183362 26542650275043 30334457457192 35390200366724 53085300550086 70780400733448 106170601100172 212341202200344