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212120044422 = 231113465753087
BaseRepresentation
bin1100010110001101010…
…1110000001110000110
3202021112000021201211120
43011203111300032012
511433410212410142
6241240244414410
721216350425326
oct3054325601606
9667460251746
10212120044422
1181a61264a40
123513a6a7406
13170062c4bb0
14a3a3a2b286
1557b75087ec
hex3163570386

212120044422 has 64 divisors (see below), whose sum is σ = 498524350464. Its totient is φ = 59320419840.

The previous prime is 212120044369. The next prime is 212120044429. The reversal of 212120044422 is 224440021212.

It is a happy number.

212120044422 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 212120044392 and 212120044401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212120044429) 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 31 ways as a sum of consecutive naturals, for example, 3969163 + ... + 4022249.

It is an arithmetic number, because the mean of its divisors is an integer number (7789442976).

Almost surely, 2212120044422 is an apocalyptic number.

212120044422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212120044422 is an abundant number, since it is smaller than the sum of its proper divisors (286404306042).

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

212120044422 is a wasteful number, since it uses less digits than its factorization.

212120044422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57773.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 212120044422 its reverse (224440021212), we get a palindrome (436560065634).

The spelling of 212120044422 in words is "two hundred twelve billion, one hundred twenty million, forty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 4657 9314 13971 27942 51227 53087 60541 102454 106174 121082 153681 159261 181623 307362 318522 363246 583957 665951 690131 1167914 1331902 1380262 1751871 1997853 2070393 3503742 3995706 4140786 7591441 15182882 22774323 45548646 247226159 494452318 741678477 1483356954 2719487749 3213940067 5438975498 6427880134 8158463247 9641820201 16316926494 19283640402 35353340737 70706681474 106060022211 212120044422