Search a number
-
+
211332331223 = 1324167345319
BaseRepresentation
bin1100010011010001100…
…0110111011011010111
3202012111010001202110122
43010310120313123113
511430302034044343
6241030145142155
721161004114356
oct3046430673327
9665433052418
10211332331223
11816976563a2
1234b5a92a95b
1316c0c054700
14a32b17d99d
15576d2ac068
hex31346376d7

211332331223 has 24 divisors (see below), whose sum is σ = 234774096480. Its totient is φ = 190031063040.

The previous prime is 211332331169. The next prime is 211332331253. The reversal of 211332331223 is 322133233112.

It is not a de Polignac number, because 211332331223 - 26 = 211332331159 is a prime.

It is a super-4 number, since 4×2113323312234 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211332331192 and 211332331201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211332331253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4640558 + ... + 4685876.

It is an arithmetic number, because the mean of its divisors is an integer number (9782254020).

Almost surely, 2211332331223 is an apocalyptic number.

211332331223 is a deficient number, since it is larger than the sum of its proper divisors (23441765257).

211332331223 is a wasteful number, since it uses less digits than its factorization.

211332331223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46059 (or 46046 counting only the distinct ones).

The product of its digits is 3888, while the sum is 26.

Adding to 211332331223 its reverse (322133233112), we get a palindrome (533465564335).

The spelling of 211332331223 in words is "two hundred eleven billion, three hundred thirty-two million, three hundred thirty-one thousand, two hundred twenty-three".

Divisors: 1 13 41 169 533 673 6929 8749 27593 45319 113737 358709 589147 1858079 4663217 7658911 24155027 30499687 314015351 396495931 1250487167 5154447103 16256333171 211332331223