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22001213231322 = 231329107499182167
BaseRepresentation
bin1010000000010100011100…
…11111111101000011011010
32212220021222101012220010020
411000022032133331003122
510340431441041400242
6114443115014531310
74430351400563343
oct500121637750332
985807871186106
1022001213231322
117012731331536
122573b95966b36
13c37922cc2b60
14560c15cc30ca
1528247e6146ec
hex14028e7fd0da

22001213231322 has 128 divisors (see below), whose sum is σ = 49578842880000. Its totient is φ = 6462072158976.

The previous prime is 22001213231317. The next prime is 22001213231359. The reversal of 22001213231322 is 22313231210022.

It is a junction number, because it is equal to n+sod(n) for n = 22001213231292 and 22001213231301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120683883 + ... + 120866049.

It is an arithmetic number, because the mean of its divisors is an integer number (387334710000).

Almost surely, 222001213231322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22001213231322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24789421440000).

22001213231322 is an abundant number, since it is smaller than the sum of its proper divisors (27577629648678).

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

22001213231322 is a wasteful number, since it uses less digits than its factorization.

22001213231322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182820.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 22001213231322 its reverse (22313231210022), we get a palindrome (44314444441344).

The spelling of 22001213231322 in words is "twenty-two trillion, one billion, two hundred thirteen million, two hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 107 174 214 321 377 499 642 754 998 1131 1391 1497 2262 2782 2994 3103 4173 6206 6487 8346 9309 12974 14471 18618 19461 28942 38922 40339 43413 53393 80678 86826 106786 121017 160179 182167 188123 242034 320358 364334 376246 546501 564369 694109 1093002 1128738 1388218 1548397 2082327 2368171 3096794 4164654 4645191 4736342 5282843 7104513 9290382 10565686 14209026 15848529 19491869 20129161 31697058 38983738 40258322 58475607 60387483 68676959 90901333 116951214 120774966 137353918 181802666 206030877 253394297 272703999 412061754 506788594 545407998 565264201 760182891 1130528402 1181717329 1520365782 1695792603 2363434658 2636138657 3391585206 3545151987 5272277314 7090303974 7348434613 7908415971 9726442631 14696869226 15816831942 19452885262 22045303839 29179327893 34269802541 44090607678 58358655786 68539605082 102809407623 126443754203 205618815246 252887508406 282066836299 379331262609 564133672598 758662525218 846200508897 1692401017794 3666868871887 7333737743774 11000606615661 22001213231322