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211221211112022 = 232337163253786849
BaseRepresentation
bin110000000001101011000101…
…010000011110001001010110
31000200212112212101000112222210
4300001223011100132021112
5210141122020021041042
62025121403530534250
762330141342110656
oct6001530520361126
91020775771015883
10211221211112022
116133545a168901
121b834104297386
1390b20c8291c57
143a23238346366
151964535e1ba9c
hexc01ac541e256

211221211112022 has 64 divisors (see below), whose sum is σ = 455500698969600. Its totient is φ = 65123735491584.

The previous prime is 211221211112017. The next prime is 211221211112027. The reversal of 211221211112022 is 220211112122112.

It is an interprime number because it is at equal distance from previous prime (211221211112017) and next prime (211221211112027).

It is a super-2 number, since 2×2112212111120222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221211112022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221211112027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126061147 + ... + 127725702.

It is an arithmetic number, because the mean of its divisors is an integer number (7117198421400).

Almost surely, 2211221211112022 is an apocalyptic number.

211221211112022 is an abundant number, since it is smaller than the sum of its proper divisors (244279487857578).

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

211221211112022 is a wasteful number, since it uses less digits than its factorization.

211221211112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253787077.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211221211112022 its reverse (220211112122112), we get a palindrome (431432323234134).

The spelling of 211221211112022 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 23 37 46 69 74 111 138 163 222 326 489 851 978 1702 2553 3749 5106 6031 7498 11247 12062 18093 22494 36186 138713 277426 416139 832278 253786849 507573698 761360547 1522721094 5837097527 9390113413 11674195054 17511292581 18780226826 28170340239 35022585162 41367256387 56340680478 82734512774 124101769161 215972608499 248203538322 431945216998 647917825497 951446896901 1295835650994 1530588486319 1902893793802 2854340690703 3061176972638 4591765458957 5708681381406 9183530917914 35203535185337 70407070370674 105610605556011 211221211112022