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2211313123200 = 27352230345117
BaseRepresentation
bin100000001011011100100…
…010000111111110000000
321211101210012202201222110
4200023130202013332000
5242212232124420300
64411510242335320
7315522254262366
oct40133442077600
97741705681873
102211313123200
117828a3677985
122b869835a540
131306ab621c8c
147905726d636
153c7c4743550
hex202dc887f80

2211313123200 has 96 divisors (see below), whose sum is σ = 7283512631160. Its totient is φ = 589683496960.

The previous prime is 2211313123127. The next prime is 2211313123211. The reversal of 2211313123200 is 23213131122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115162959 + ... + 115182158.

Almost surely, 22211313123200 is an apocalyptic number.

2211313123200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211313123200 is an abundant number, since it is smaller than the sum of its proper divisors (5072199507960).

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

2211313123200 is a wasteful number, since it uses less digits than its factorization.

2211313123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230345144 (or 230345127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2211313123200 its reverse (23213131122), we get a palindrome (2234526254322).

The spelling of 2211313123200 in words is "two trillion, two hundred eleven billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 230345117 460690234 691035351 921380468 1151725585 1382070702 1842760936 2303451170 2764141404 3455176755 3685521872 4606902340 5528282808 5758627925 6910353510 7371043744 9213804680 11056565616 11517255850 13820707020 14742087488 17275883775 18427609360 22113131232 23034511700 27641414040 29484174976 34551767550 36855218720 44226262464 46069023400 55282828080 69103535100 73710437440 88452524928 92138046800 110565656160 138207070200 147420874880 184276093600 221131312320 276414140400 368552187200 442262624640 552828280800 737104374400 1105656561600 2211313123200