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22011211221021 = 3311437124275081
BaseRepresentation
bin1010000000100111000100…
…11011010000100000011101
32212221020210011012101122000
411000103202123100200131
510341112430033033041
6114451451050312513
74431154222233351
oct500234233204035
985836704171560
1022011211221021
1170169a19a3140
122575b06128739
13c388574582a9
145614c3a81461
15282867226bb6
hex1404e26d081d

22011211221021 has 64 divisors (see below), whose sum is σ = 36913660692480. Its totient is φ = 12846372336000.

The previous prime is 22011211221017. The next prime is 22011211221037. The reversal of 22011211221021 is 12012211211022.

22011211221021 is a `hidden beast` number, since 220 + 1 + 1 + 211 + 2 + 210 + 21 = 666.

It is not a de Polignac number, because 22011211221021 - 22 = 22011211221017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22011211220985 and 22011211221003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011211221001) 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 63 ways as a sum of consecutive naturals, for example, 11230800 + ... + 13044281.

It is an arithmetic number, because the mean of its divisors is an integer number (576775948320).

Almost surely, 222011211221021 is an apocalyptic number.

It is an amenable number.

22011211221021 is a deficient number, since it is larger than the sum of its proper divisors (14902449471459).

22011211221021 is a wasteful number, since it uses less digits than its factorization.

22011211221021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24275215 (or 24275209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22011211221021 its reverse (12012211211022), we get a palindrome (34023422432043).

Subtracting from 22011211221021 its reverse (12012211211022), we obtain a palindrome (9999000009999).

The spelling of 22011211221021 in words is "twenty-two trillion, eleven billion, two hundred eleven million, two hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 11 27 33 43 71 99 129 213 297 387 473 639 781 1161 1419 1917 2343 3053 4257 7029 9159 12771 21087 27477 33583 82431 100749 302247 906741 24275081 72825243 218475729 267025891 655427187 801077673 1043828483 1723530751 2403233019 3131485449 5170592253 7209699057 9394456347 11482113313 15511776759 18958838261 28183369041 34446339939 46535330277 56876514783 74111822293 103339019817 170629544349 222335466879 310017059451 511888633047 667006400637 815230045223 2001019201911 2445690135669 7337070407007 22011211221021