Search a number
-
+
11211310231 = 114161407521
BaseRepresentation
bin10100111000011111…
…10000010010010111
31001221100001120101021
422130033300102113
5140430043411411
65052253142011
7544553364442
oct123417602227
931840046337
1011211310231
114833546350
12220a78a907
1310989419a4
14784d98659
154593cea71
hex29c3f0497

11211310231 has 16 divisors (see below), whose sum is σ = 12734247456. Its totient is φ = 9780480000.

The previous prime is 11211310217. The next prime is 11211310249. The reversal of 11211310231 is 13201311211.

It is a happy number.

11211310231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11211310231 is a prime.

It is a super-2 number, since 2×112113102312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11211310291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176250 + ... + 231271.

It is an arithmetic number, because the mean of its divisors is an integer number (795890466).

Almost surely, 211211310231 is an apocalyptic number.

11211310231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11211310231 is a deficient number, since it is larger than the sum of its proper divisors (1522937225).

11211310231 is a wasteful number, since it uses less digits than its factorization.

11211310231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407634.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11211310231 its reverse (13201311211), we get a palindrome (24412621442).

The spelling of 11211310231 in words is "eleven billion, two hundred eleven million, three hundred ten thousand, two hundred thirty-one".

Divisors: 1 11 41 61 451 671 2501 27511 407521 4482731 16708361 24858781 183791971 273446591 1019210021 11211310231