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22122132021 = 3411232694013
BaseRepresentation
bin10100100110100101…
…001111001000110101
32010002201200202010000
4110212211033020311
5330301231211041
614055054021513
71412131006503
oct244645171065
963081622100
1022122132021
119422404240
1243547a7899
132117244462
1410dc093673
15897205bb6
hex52694f235

22122132021 has 80 divisors (see below), whose sum is σ = 37767565440. Its totient is φ = 12773566080.

The previous prime is 22122131971. The next prime is 22122132023. The reversal of 22122132021 is 12023122122.

It is not a de Polignac number, because 22122132021 - 214 = 22122115637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22122131985 and 22122132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122132023) 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 79 ways as a sum of consecutive naturals, for example, 5510611 + ... + 5514623.

It is an arithmetic number, because the mean of its divisors is an integer number (472094568).

Almost surely, 222122132021 is an apocalyptic number.

It is an amenable number.

22122132021 is a deficient number, since it is larger than the sum of its proper divisors (15645433419).

22122132021 is a wasteful number, since it uses less digits than its factorization.

22122132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22122132021 its reverse (12023122122), we get a palindrome (34145254143).

The spelling of 22122132021 in words is "twenty-two billion, one hundred twenty-two million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 11 23 27 33 69 81 99 207 253 269 297 621 759 807 891 1863 2277 2421 2959 4013 6187 6831 7263 8877 12039 18561 20493 21789 26631 36117 44143 55683 68057 79893 92299 108351 132429 167049 204171 239679 276897 325053 397287 501147 612513 830691 1015289 1079497 1191861 1837539 2492073 3045867 3238491 3575583 5512617 7476219 9137601 9715473 11874467 24828431 27412803 29146419 35623401 74485293 82238409 87439257 106870203 223455879 273112741 320610609 670367637 819338223 961831827 2011102911 2458014669 7374044007 22122132021