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211222022222122 = 261113149527319501
BaseRepresentation
bin110000000001101011110101…
…100110100111000100101010
31000200212121221220021012212121
4300001223311212213010222
5210141130200142101442
62025122020223501454
762330200421326312
oct6001536546470452
91020777856235777
10211222022222122
1161335835aa792a
121b8342aba5788a
1390b21c7334a62
143a232b3d64442
15196458223a967
hexc01af59a712a

211222022222122 has 64 divisors (see below), whose sum is σ = 327135994768800. Its totient is φ = 102244746240000.

The previous prime is 211222022222039. The next prime is 211222022222161. The reversal of 211222022222122 is 221222220222112.

It can be written as a sum of positive squares in 16 ways, for example, as 37964587494681 + 173257434727441 = 6161541^2 + 13162729^2 .

It is a super-2 number, since 2×2112220222221222 (a number of 29 digits) contains 22 as substring.

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, 10831333372 + ... + 10831352872.

Almost surely, 2211222022222122 is an apocalyptic number.

211222022222122 is a deficient number, since it is larger than the sum of its proper divisors (115913972546678).

211222022222122 is a wasteful number, since it uses less digits than its factorization.

211222022222122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25099.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 211222022222122 its reverse (221222220222112), we get a palindrome (432444242444234).

The spelling of 211222022222122 in words is "two hundred eleven trillion, two hundred twenty-two billion, twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 61 113 122 149 226 298 5273 6893 9089 10546 13786 16837 18178 19501 33674 39002 321653 595849 643306 785677 1027057 1189561 1191698 1571354 2054114 2203613 2379122 2905649 4407226 5811298 36346789 47926297 72693578 88781501 95852594 102828773 134420393 177244589 177563002 205657546 268840786 328338337 354489178 656676674 5415671561 6272555153 10831343122 11619651349 12545110306 15321487177 20028638557 23239302698 30642974354 40057277114 708798732289 934610717797 1417597464578 1731328051001 1869221435594 3462656102002 105611011111061 211222022222122