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22122101001 = 37211213293299
BaseRepresentation
bin10100100110100101…
…000111100100001001
32010002201122011120010
4110212211013210021
5330301224213001
614055053222133
71412130520200
oct244645074411
963081564503
1022122101001
119422392a00
124354791949
1321172332c0
1410dc086237
158971eb8d6
hex526947909

22122101001 has 144 divisors (see below), whose sum is σ = 42029064000. Its totient is φ = 10239102720.

The previous prime is 22122100997. The next prime is 22122101011. The reversal of 22122101001 is 10010122122.

It is not a de Polignac number, because 22122101001 - 22 = 22122100997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122101011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6704050 + ... + 6707348.

It is an arithmetic number, because the mean of its divisors is an integer number (291868500).

Almost surely, 222122101001 is an apocalyptic number.

22122101001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22122101001 is a deficient number, since it is larger than the sum of its proper divisors (19906962999).

22122101001 is a wasteful number, since it uses less digits than its factorization.

22122101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22122101001 its reverse (10010122122), we get a palindrome (32132223123).

The spelling of 22122101001 in words is "twenty-two billion, one hundred twenty-two million, one hundred one thousand, one".

Divisors: 1 3 7 11 13 21 29 33 39 49 77 87 91 121 143 147 203 231 273 319 363 377 429 539 609 637 847 957 1001 1131 1421 1573 1617 1911 2233 2541 2639 3003 3299 3509 4147 4263 4719 5929 6699 7007 7917 9897 10527 11011 12441 15631 17787 18473 21021 23093 24563 29029 33033 36289 42887 45617 46893 55419 69279 73689 77077 87087 95671 108867 128661 136851 161651 171941 203203 231231 254023 287013 300209 319319 399179 471757 484953 515823 609609 669697 762069 900627 957957 1052381 1197537 1243723 1415271 1778161 2009091 2101463 2235233 2794253 3157143 3302299 3731169 4687879 5189327 5334483 6304389 6705699 7366667 8382759 8706061 9906897 11576191 13680953 14063637 15567981 19559771 22100001 23116093 26118183 34728573 36325289 41042859 51566669 58679313 60942427 69348279 81033337 95766671 108975867 150490483 154700007 182827281 243100011 254277023 287300013 451471449 567233359 670366697 762831069 1053433381 1701700077 2011100091 3160300143 7374033667 22122101001