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11133212224 = 265310132497
BaseRepresentation
bin10100101111001011…
…10101011001000000
31001201220002210001111
422113211311121000
5140300100242344
65040423213104
7542614512451
oct122745653100
931656083044
1011133212224
1147a3454142
1221a85a7194
1310856c9254
14778869128
15452604834
hex297975640

11133212224 has 56 divisors (see below), whose sum is σ = 22732870968. Its totient is φ = 5407334400.

The previous prime is 11133212219. The next prime is 11133212227. The reversal of 11133212224 is 42221233111.

It can be written as a sum of positive squares in 4 ways, for example, as 7624782400 + 3508429824 = 87320^2 + 59232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11133212195 and 11133212204.

It is not an unprimeable number, because it can be changed into a prime (11133212227) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 326344 + ... + 358840.

Almost surely, 211133212224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11133212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366435484).

11133212224 is an abundant number, since it is smaller than the sum of its proper divisors (11599658744).

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

11133212224 is a wasteful number, since it uses less digits than its factorization.

11133212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32663 (or 32653 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

Adding to 11133212224 its reverse (42221233111), we get a palindrome (53354445335).

The spelling of 11133212224 in words is "eleven billion, one hundred thirty-three million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 101 106 202 212 404 424 808 848 1616 1696 3232 3392 5353 6464 10706 21412 32497 42824 64994 85648 129988 171296 259976 342592 519952 1039904 1722341 2079808 3282197 3444682 6564394 6889364 13128788 13778728 26257576 27557456 52515152 55114912 105030304 110229824 173956441 210060608 347912882 695825764 1391651528 2783303056 5566606112 11133212224