Search a number
-
+
11211233420 = 225737678927
BaseRepresentation
bin10100111000011110…
…11101100010001100
31001221022220200000102
422130033131202030
5140430033432140
65052251350232
7544552624502
oct123417354214
931838820012
1011211233420
1148334a3672
12220a752378
131098915a3a
14784d78672
154593b6e15
hex29c3dd88c

11211233420 has 24 divisors (see below), whose sum is σ = 23866108224. Its totient is φ = 4423061376.

The previous prime is 11211233393. The next prime is 11211233441. The reversal of 11211233420 is 2433211211.

11211233420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11211233392 and 11211233401.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3838004 + ... + 3840923.

It is an arithmetic number, because the mean of its divisors is an integer number (994421176).

Almost surely, 211211233420 is an apocalyptic number.

11211233420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211233420 is an abundant number, since it is smaller than the sum of its proper divisors (12654874804).

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

11211233420 is a wasteful number, since it uses less digits than its factorization.

11211233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7679009 (or 7679007 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11211233420 its reverse (2433211211), we get a palindrome (13644444631).

The spelling of 11211233420 in words is "eleven billion, two hundred eleven million, two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 7678927 15357854 30715708 38394635 76789270 153578540 560561671 1121123342 2242246684 2802808355 5605616710 11211233420