Search a number
-
+
222331331131 = 7134933495277
BaseRepresentation
bin1100111100001111111…
…0101110001000111011
3210020212122121211211121
43033003332232020323
512120313310044011
6250045420010111
722030402063450
oct3170376561073
9706778554747
10222331331131
1186321270868
123710a390937
1317c729bba90
14aa91c6d827
155bb3beee71
hex33c3fae23b

222331331131 has 16 divisors (see below), whose sum is σ = 273694585024. Its totient is φ = 175874488704.

The previous prime is 222331331107. The next prime is 222331331141. The reversal of 222331331131 is 131133133222.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222331331131 is a prime.

It is a super-2 number, since 2×2223313311312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222331331096 and 222331331105.

It is not an unprimeable number, because it can be changed into a prime (222331331141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201265 + ... + 696541.

It is an arithmetic number, because the mean of its divisors is an integer number (17105911564).

Almost surely, 2222331331131 is an apocalyptic number.

222331331131 is a deficient number, since it is larger than the sum of its proper divisors (51363253893).

222331331131 is a wasteful number, since it uses less digits than its factorization.

222331331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500230.

The product of its digits is 1944, while the sum is 25.

Adding to 222331331131 its reverse (131133133222), we get a palindrome (353464464353).

The spelling of 222331331131 in words is "two hundred twenty-two billion, three hundred thirty-one million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 13 91 4933 34531 64129 448903 495277 3466939 6438601 45070207 2443201441 17102410087 31761618733 222331331131