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22221212013 = 32711134994943
BaseRepresentation
bin10100101100011111…
…001100100101101101
32010100122010112022100
4110230133030211231
5331002112241023
614112553405313
71414443120450
oct245437144555
963318115270
1022221212013
119473327530
124381a09839
132131925280
14110b2c5497
158a0c77c43
hex52c7cc96d

22221212013 has 96 divisors (see below), whose sum is σ = 43190784000. Its totient is φ = 10632021120.

The previous prime is 22221211979. The next prime is 22221212017. The reversal of 22221212013 is 31021212222.

It is not a de Polignac number, because 22221212013 - 214 = 22221195629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4493020 + ... + 4497962.

It is an arithmetic number, because the mean of its divisors is an integer number (449904000).

Almost surely, 222221212013 is an apocalyptic number.

It is an amenable number.

22221212013 is a deficient number, since it is larger than the sum of its proper divisors (20969571987).

22221212013 is a wasteful number, since it uses less digits than its factorization.

22221212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5476 counting only the distinct ones).

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

Adding to 22221212013 its reverse (31021212222), we get a palindrome (53242424235).

The spelling of 22221212013 in words is "twenty-two billion, two hundred twenty-one million, two hundred twelve thousand, thirteen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 231 273 429 499 693 819 1001 1287 1497 3003 3493 4491 4943 5489 6487 9009 10479 14829 16467 19461 31437 34601 38423 44487 45409 49401 54373 58383 64259 71357 103803 115269 136227 163119 192777 214071 311409 345807 380611 408681 449813 489357 499499 578331 642213 706849 1141833 1349439 1498497 2120547 2466557 3425499 4048317 4495491 4947943 6361641 7399671 14843829 17265899 22199013 27132127 32065241 44531487 51797697 81396381 96195723 155393091 189924889 224456687 244189143 288587169 352717651 569774667 673370061 1058152953 1709324001 2020110183 2469023557 3174458859 7407070671 22221212013