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11121332022 = 2337313720593
BaseRepresentation
bin10100101101110001…
…00000111100110110
31001201001202012111000
422112320200330312
5140234030111042
65035320424130
7542411522343
oct122670407466
931631665430
1011121332022
11479777a399
1221a4618046
1310830c9948
147770557ca
1545155974c
hex296e20f36

11121332022 has 64 divisors (see below), whose sum is σ = 25236711360. Its totient is φ = 3629463552.

The previous prime is 11121331999. The next prime is 11121332023. The reversal of 11121332022 is 22023312111.

11121332022 is a `hidden beast` number, since 111 + 213 + 320 + 22 = 666.

11121332022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11121331986 and 11121332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121332023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 529758 + ... + 550350.

It is an arithmetic number, because the mean of its divisors is an integer number (394323615).

Almost surely, 211121332022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121332022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12618355680).

11121332022 is an abundant number, since it is smaller than the sum of its proper divisors (14115379338).

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

11121332022 is a wasteful number, since it uses less digits than its factorization.

11121332022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20814 (or 20808 counting only the distinct ones).

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

Adding to 11121332022 its reverse (22023312111), we get a palindrome (33144644133).

The spelling of 11121332022 in words is "eleven billion, one hundred twenty-one million, three hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 137 146 219 274 411 438 657 822 1233 1314 1971 2466 3699 3942 7398 10001 20002 20593 30003 41186 60006 61779 90009 123558 180018 185337 270027 370674 540054 556011 1112022 1503289 2821241 3006578 4509867 5642482 8463723 9019734 13529601 16927446 25391169 27059202 40588803 50782338 76173507 81177606 152347014 205950593 411901186 617851779 1235703558 1853555337 3707110674 5560666011 11121332022