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22122342103026 = 23114182318235449
BaseRepresentation
bin1010000011110110000100…
…10101111011011111110010
32220022212122001120010110210
411001323002111323133302
510344423024034244101
6115014510315004550
74442200155161034
oct501730225733762
986285561503423
1022122342103026
11705a03a430680
12259355b739756
13c46188029439
14566a27121c54
152856bd7557d6
hex141ec257b7f2

22122342103026 has 128 divisors (see below), whose sum is σ = 49540493721600. Its totient is φ = 6527505945600.

The previous prime is 22122342103021. The next prime is 22122342103049. The reversal of 22122342103026 is 62030124322122.

It is a junction number, because it is equal to n+sod(n) for n = 22122342102984 and 22122342103002.

It is not an unprimeable number, because it can be changed into a prime (22122342103021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4059887550 + ... + 4059892998.

It is an arithmetic number, because the mean of its divisors is an integer number (387035107200).

Almost surely, 222122342103026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22122342103026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24770246860800).

22122342103026 is an abundant number, since it is smaller than the sum of its proper divisors (27418151618574).

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

22122342103026 is a wasteful number, since it uses less digits than its factorization.

22122342103026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 22122342103026 its reverse (62030124322122), we get a palindrome (84152466425148).

The spelling of 22122342103026 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred forty-two million, one hundred three thousand, twenty-six".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 823 902 1353 1646 1823 2469 2706 3646 4938 5449 5469 9053 10898 10938 16347 18106 20053 27159 32694 33743 40106 54318 59939 60159 67486 74743 101229 119878 120318 149486 179817 202458 223409 224229 359634 371173 446818 448458 670227 742346 822173 1113519 1340454 1500329 1644346 2227038 2457499 2466519 3000658 4484527 4500987 4914998 4933038 7372497 8969054 9001974 9933527 13453581 14744994 16503619 19867054 26907162 29800581 33007238 49329797 49510857 59601162 61513489 98659594 99021714 109268797 123026978 147989391 183865607 184540467 218537594 295978782 327806391 367731214 369080934 407274607 551596821 655612782 676648379 814549214 1103193642 1221823821 1353296758 2022521677 2029945137 2443647642 4045043354 4059890274 4480020677 6067565031 8175292721 8960041354 12135130062 13440062031 16350585442 24525878163 26880124062 49051756326 89928219931 179856439862 269784659793 335187001561 539569319586 670374003122 1005561004683 2011122009366 3687057017171 7374114034342 11061171051513 22122342103026