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211211212022112 = 2533373652272989
BaseRepresentation
bin110000000001100001110001…
…010000111110000101100000
31000200211121001111222011021110
4300001201301100332011200
5210140441030234201422
62025113031415423320
762326335505206231
oct6001416120760540
91020747044864243
10211211212022112
1161331198a15635
121b832193684b40
1390b1193832ac3
143a2296a37d088
15196414d18d60c
hexc0187143e160

211211212022112 has 48 divisors (see below), whose sum is σ = 554593805201520. Its totient is φ = 70382864497152.

The previous prime is 211211212022099. The next prime is 211211212022119. The reversal of 211211212022112 is 211220212112112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2112112120221122 (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 (211211212022119) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 325812687 + ... + 326460302.

It is an arithmetic number, because the mean of its divisors is an integer number (11554037608365).

Almost surely, 2211211212022112 is an apocalyptic number.

It is an amenable number.

211211212022112 is an abundant number, since it is smaller than the sum of its proper divisors (343382593179408).

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

211211212022112 is a wasteful number, since it uses less digits than its factorization.

211211212022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652276375 (or 652276367 counting only the distinct ones).

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

Adding to 211211212022112 its reverse (211220212112112), we get a palindrome (422431424134224).

The spelling of 211211212022112 in words is "two hundred eleven trillion, two hundred eleven billion, two hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 3373 6746 10119 13492 20238 26984 40476 53968 80952 107936 161904 323808 652272989 1304545978 1956818967 2609091956 3913637934 5218183912 7827275868 10436367824 15654551736 20872735648 31309103472 62618206944 2200116791897 4400233583794 6600350375691 8800467167588 13200700751382 17600934335176 26401401502764 35201868670352 52802803005528 70403737340704 105605606011056 211211212022112