Search a number
-
+
211013223231 = 31759671046677
BaseRepresentation
bin1100010010000101011…
…1100100001100111111
3202011122212121101121010
43010201113210030333
511424123341120411
6240534345410303
721150050542356
oct3044127441477
9664585541533
10211013223231
1181543510888
1234a8ba99993
1316b8abc6505
14a2daa3499d
1557502767a6
hex31215e433f

211013223231 has 32 divisors (see below), whose sum is σ = 307472129280. Its totient is φ = 128213623296.

The previous prime is 211013223119. The next prime is 211013223251. The reversal of 211013223231 is 132322310112.

211013223231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211013223231 - 222 = 211009028927 is a prime.

It is a super-2 number, since 2×2110132232312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211013223198 and 211013223207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211013223251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321736 + ... + 724941.

It is an arithmetic number, because the mean of its divisors is an integer number (9608504040).

Almost surely, 2211013223231 is an apocalyptic number.

211013223231 is a deficient number, since it is larger than the sum of its proper divisors (96458906049).

211013223231 is a wasteful number, since it uses less digits than its factorization.

211013223231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046823.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 211013223231 its reverse (132322310112), we get a palindrome (343335533343).

The spelling of 211013223231 in words is "two hundred eleven billion, thirteen million, two hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 17 51 59 67 177 201 1003 1139 3009 3417 3953 11859 67201 201603 1046677 3140031 17793509 53380527 61753943 70127359 185261829 210382077 1049817031 1192165103 3149451093 3576495309 4137514181 12412542543 70337741077 211013223231