Search a number
-
+
11001222211199 = 1110369114051833
BaseRepresentation
bin1010000000010110101111…
…1100010010011001111111
31102221201002002110102212212
42200011223330102121333
52420221000341224244
635221520335451035
72213545353620303
oct240055374223177
942851062412785
1011001222211199
113561657156310
12129813b086a7b
1361a5456c424c
142a0667a07d03
15141278b30d9e
hexa016bf1267f

11001222211199 has 16 divisors (see below), whose sum is σ = 12135388671744. Its totient is φ = 9889679361600.

The previous prime is 11001222211193. The next prime is 11001222211207. The reversal of 11001222211199 is 99111222210011.

It is a cyclic number.

It is not a de Polignac number, because 11001222211199 - 220 = 11001221162623 is a prime.

It is a super-2 number, since 2×110012222111992 (a number of 27 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 (11001222211193) 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 15 ways as a sum of consecutive naturals, for example, 6243014 + ... + 7808819.

It is an arithmetic number, because the mean of its divisors is an integer number (758461791984).

Almost surely, 211001222211199 is an apocalyptic number.

11001222211199 is a deficient number, since it is larger than the sum of its proper divisors (1134166460545).

11001222211199 is a wasteful number, since it uses less digits than its factorization.

11001222211199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14052638.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 11001222211199 in words is "eleven trillion, one billion, two hundred twenty-two million, two hundred eleven thousand, one hundred ninety-nine".

Divisors: 1 11 103 691 1133 7601 71173 782903 14051833 154570163 1447338799 9709816603 15920726789 106807982633 1000111110109 11001222211199