Search a number
-
+
223102133221122 = 23243328624856713
BaseRepresentation
bin110010101110100100000011…
…011001100011011100000010
31002020221100121021001001011200
4302232210003121203130002
5213220301132101033442
62110255412144322030
764664411561551551
oct6256440331433402
91066840537031150
10223102133221122
11650a60a0a40821
1221032831013316
13976459683225c
143d142b5251d98
151abd5e9cce34c
hexcae903663702

223102133221122 has 24 divisors (see below), whose sum is σ = 484504324741164. Its totient is φ = 74195628597504.

The previous prime is 223102133221117. The next prime is 223102133221129. The reversal of 223102133221122 is 221122331201322.

223102133221122 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 0 + 213 + 322 + 1 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 197865887723361 + 25236245497761 = 14066481^2 + 5023569^2 .

It is a super-3 number, since 3×2231021332211223 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223102133221129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14312420563 + ... + 14312436150.

Almost surely, 2223102133221122 is an apocalyptic number.

223102133221122 is an abundant number, since it is smaller than the sum of its proper divisors (261402191520042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223102133221122 is a wasteful number, since it uses less digits than its factorization.

223102133221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28624857154 (or 28624857151 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 223102133221122 its reverse (221122331201322), we get a palindrome (444224464422444).

The spelling of 223102133221122 in words is "two hundred twenty-three trillion, one hundred two billion, one hundred thirty-three million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 433 866 1299 2598 3897 7794 28624856713 57249713426 85874570139 171749140278 257623710417 515247420834 12394562956729 24789125913458 37183688870187 74367377740374 111551066610561 223102133221122