Search a number
-
+
11212333121 = 113497513889
BaseRepresentation
bin10100111000100111…
…01010000001000001
31001221101222112112002
422130103222001001
5140430324124441
65052331113345
7544565154563
oct123423520101
931841875462
1011212333121
114834084910
12220aba2855
131098c0c452
14785183333
15459532b9b
hex29c4ea041

11212333121 has 16 divisors (see below), whose sum is σ = 12286176000. Its totient is φ = 10147680000.

The previous prime is 11212333103. The next prime is 11212333127. The reversal of 11212333121 is 12133321211.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11212333121 is a prime.

It is a super-4 number, since 4×112123331214 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11212333093 and 11212333102.

It is not an unprimeable number, because it can be changed into a prime (11212333127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2881145 + ... + 2885033.

It is an arithmetic number, because the mean of its divisors is an integer number (767886000).

Almost surely, 211212333121 is an apocalyptic number.

11212333121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11212333121 is a deficient number, since it is larger than the sum of its proper divisors (1073842879).

11212333121 is a wasteful number, since it uses less digits than its factorization.

11212333121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000.

The product of its digits is 216, while the sum is 20.

Adding to 11212333121 its reverse (12133321211), we get a palindrome (23345654332).

The spelling of 11212333121 in words is "eleven billion, two hundred twelve million, three hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 11 349 751 3839 3889 8261 42779 262099 1357261 2883089 2920639 14929871 32127029 1019303011 11212333121