Search a number
-
+
112222112222201 = 1743261109536953
BaseRepresentation
bin11001100001000010111111…
…001000101000101111111001
3112201100022212221201120222012
4121201002333020220233321
5104202121341212102301
61034402043204335305
732431531361666012
oct3141027710505771
9481308787646865
10112222112222201
11328371487a7a83
12107054923a4535
134a80666009637
141d9d817506009
15ce924c05debb
hex6610bf228bf9

112222112222201 has 48 divisors (see below), whose sum is σ = 124779883464720. Its totient is φ = 100542157148160.

The previous prime is 112222112222177. The next prime is 112222112222239. The reversal of 112222112222201 is 102222211222211.

It can be written as a sum of positive squares in 8 ways, for example, as 6481611901801 + 105740500320400 = 2545901^2 + 10283020^2 .

It is not a de Polignac number, because 112222112222201 - 214 = 112222112205817 is a prime.

It is a super-2 number, since 2×1122221122222012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112222112222281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208729541 + ... + 209266493.

It is an arithmetic number, because the mean of its divisors is an integer number (2599580905515).

Almost surely, 2112222112222201 is an apocalyptic number.

It is an amenable number.

112222112222201 is a deficient number, since it is larger than the sum of its proper divisors (12557771242519).

112222112222201 is a wasteful number, since it uses less digits than its factorization.

112222112222201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537226 (or 537183 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 112222112222201 its reverse (102222211222211), we get a palindrome (214444323444412).

The spelling of 112222112222201 in words is "one hundred twelve trillion, two hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 17 43 61 109 731 1037 1849 1853 2623 4687 6649 31433 44591 79679 112789 113033 201541 285907 536953 1917413 3426197 4860419 9128201 12294001 23088979 32754133 58527877 208998017 392512643 556820261 992826097 994973909 1408427719 2516698711 3570200497 16878043649 23943271223 42783878087 60562391917 60693408449 108218044573 153518621371 1029560662589 1839706757741 2609816563307 6601300718953 112222112222201