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11132213022 = 2337227129737
BaseRepresentation
bin10100101111000100…
…00001011100011110
31001201211020000102000
422113202001130132
5140244321304042
65040345543130
7542603151360
oct122742013436
931654200360
1011132213022
1147a2931457
1221a81a4aa6
1310854394c8
14778688d30
154524a874c
hex29788171e

11132213022 has 64 divisors (see below), whose sum is σ = 28397053440. Its totient is φ = 3166596288.

The previous prime is 11132212997. The next prime is 11132213023. The reversal of 11132213022 is 22031223111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11132212986 and 11132213004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132213023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20938 + ... + 150674.

It is an arithmetic number, because the mean of its divisors is an integer number (443703960).

Almost surely, 211132213022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132213022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14198526720).

11132213022 is an abundant number, since it is smaller than the sum of its proper divisors (17264840418).

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

11132213022 is a wasteful number, since it uses less digits than its factorization.

11132213022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129982 (or 129976 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11132213022 its reverse (22031223111), we get a palindrome (33163436133).

The spelling of 11132213022 in words is "eleven billion, one hundred thirty-two million, two hundred thirteen thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 227 378 454 681 1362 1589 2043 3178 4086 4767 6129 9534 12258 14301 28602 42903 85806 129737 259474 389211 778422 908159 1167633 1816318 2335266 2724477 3502899 5448954 7005798 8173431 16346862 24520293 29450299 49040586 58900598 88350897 176701794 206152093 265052691 412304186 530105382 618456279 795158073 1236912558 1590316146 1855368837 3710737674 5566106511 11132213022