Search a number
-
+
22213231101 = 3417731371613
BaseRepresentation
bin10100101100000000…
…110000000111111101
32010100002010001120000
4110230000300013331
5330443041343401
614112110344513
71414315230465
oct245400600775
963302101500
1022213231101
119469876336
12437b1bb139
13213008c739
14110a208ba5
158a01ed186
hex52c0301fd

22213231101 has 80 divisors (see below), whose sum is σ = 35898161904. Its totient is φ = 13637984256.

The previous prime is 22213231097. The next prime is 22213231109. The reversal of 22213231101 is 10113231222.

22213231101 is a `hidden beast` number, since 222 + 132 + 311 + 0 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1799965476 + 20413265625 = 42426^2 + 142875^2 .

It is not a de Polignac number, because 22213231101 - 22 = 22213231097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213231109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13770571 + ... + 13772183.

Almost surely, 222213231101 is an apocalyptic number.

It is an amenable number.

22213231101 is a deficient number, since it is larger than the sum of its proper divisors (13684930803).

22213231101 is a wasteful number, since it uses less digits than its factorization.

22213231101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22213231101 its reverse (10113231222), we get a palindrome (32326462323).

The spelling of 22213231101 in words is "twenty-two billion, two hundred thirteen million, two hundred thirty-one thousand, one hundred one".

Divisors: 1 3 9 17 27 51 73 81 137 153 219 411 459 657 1233 1241 1377 1613 1971 2329 3699 3723 4839 5913 6987 10001 11097 11169 14517 20961 27421 30003 33507 43551 62883 82263 90009 100521 117749 130653 170017 188649 220981 246789 270027 353247 510051 662943 740367 810081 1059741 1530153 1988829 2001733 2221101 3179223 3756677 4590459 5966487 6005199 9537669 11270031 13771377 16131613 17899461 18015597 33810093 48394839 54046791 101430279 145184517 162140373 274237421 304290837 435553551 822712263 1306660653 2468136789 7404410367 22213231101