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2212102211202 = 234138089129853
BaseRepresentation
bin100000001100001011100…
…100010000011010000010
321211110211012120120020000
4200030023210100122002
5242220341131224302
64412120431300430
7315550645360452
oct40141344203202
97743735516200
102212102211202
11783169035424
122b887867a716
131307a5c54160
14790cdd97d62
153c81db6231c
hex2030b910682

2212102211202 has 80 divisors (see below), whose sum is σ = 5338736846520. Its totient is φ = 680557448448.

The previous prime is 2212102211201. The next prime is 2212102211233. The reversal of 2212102211202 is 2021122012122.

It is a happy number.

2212102211202 is a `hidden beast` number, since 221 + 21 + 0 + 221 + 1 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195108607521 + 2016993603681 = 441711^2 + 1420209^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2212102211201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16970508 + ... + 17100360.

Almost surely, 22212102211202 is an apocalyptic number.

2212102211202 is an abundant number, since it is smaller than the sum of its proper divisors (3126634635318).

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

2212102211202 is a wasteful number, since it uses less digits than its factorization.

2212102211202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137969 (or 137960 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212102211202 its reverse (2021122012122), we get a palindrome (4233224223324).

The spelling of 2212102211202 in words is "two trillion, two hundred twelve billion, one hundred two million, two hundred eleven thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 8089 16178 24267 48534 72801 105157 129853 145602 210314 218403 259706 315471 389559 436806 630942 655209 779118 946413 1168677 1310418 1688089 1892826 2337354 2839239 3376178 3506031 5064267 5678478 7012062 8517717 10128534 10518093 15192801 17035434 21036186 30385602 45578403 91156806 136735209 273470418 1050380917 2100761834 3151142751 6302285502 9453428253 13654951921 18906856506 27309903842 28360284759 40964855763 56720569518 81929711526 85080854277 122894567289 170161708554 245789134578 368683701867 737367403734 1106051105601 2212102211202