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11222122221 = 3210112345569
BaseRepresentation
bin10100111001110001…
…11111111011101101
31001222002101212122100
422130320333323231
5140440330402341
65053321005313
7545044315332
oct123470777355
931862355570
1011222122221
114839660582
122212323839
13109ac5900b
147865b0989
1545a3183b6
hex29ce3feed

11222122221 has 12 divisors (see below), whose sum is σ = 16370225820. Its totient is φ = 7407340800.

The previous prime is 11222122217. The next prime is 11222122243. The reversal of 11222122221 is 12222122211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9372176100 + 1849946121 = 96810^2 + 43011^2 .

It is not a de Polignac number, because 11222122221 - 22 = 11222122217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11222122194 and 11222122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222122201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6171876 + ... + 6173693.

It is an arithmetic number, because the mean of its divisors is an integer number (1364185485).

Almost surely, 211222122221 is an apocalyptic number.

It is an amenable number.

11222122221 is a deficient number, since it is larger than the sum of its proper divisors (5148103599).

11222122221 is a wasteful number, since it uses less digits than its factorization.

11222122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345676 (or 12345673 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

Adding to 11222122221 its reverse (12222122211), we get a palindrome (23444244432).

The spelling of 11222122221 in words is "eleven billion, two hundred twenty-two million, one hundred twenty-two thousand, two hundred twenty-one".

Divisors: 1 3 9 101 303 909 12345569 37036707 111110121 1246902469 3740707407 11222122221