Search a number
-
+
1122011022 = 2311731791301
BaseRepresentation
bin100001011100000…
…1000011110001110
32220012021001202210
41002320020132032
54244213323042
6303200331250
736542636106
oct10270103616
92805231683
101122011022
11526389540
12273913b26
1314b5b9562
14a902c206
1568782a9c
hex42e0878e

1122011022 has 64 divisors (see below), whose sum is σ = 2497340160. Its totient is φ = 333216000.

The previous prime is 1122010979. The next prime is 1122011029. The reversal of 1122011022 is 2201102211.

It is a junction number, because it is equal to n+sod(n) for n = 1122010989 and 1122011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122011029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 861772 + ... + 863072.

It is an arithmetic number, because the mean of its divisors is an integer number (39020940).

Almost surely, 21122011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248670080).

1122011022 is an abundant number, since it is smaller than the sum of its proper divisors (1375329138).

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

1122011022 is a wasteful number, since it uses less digits than its factorization.

1122011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1122011022 is about 33496.4329742735. The cubic root of 1122011022 is about 1039.1200094321.

Adding to 1122011022 its reverse (2201102211), we get a palindrome (3323113233).

It can be divided in two parts, 11 and 22011022, that multiplied together give a palindrome (242121242).

The spelling of 1122011022 in words is "one billion, one hundred twenty-two million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 73 146 179 219 358 438 537 803 1074 1301 1606 1969 2409 2602 3903 3938 4818 5907 7806 11814 13067 14311 26134 28622 39201 42933 78402 85866 94973 143737 189946 232879 284919 287474 431211 465758 569838 698637 862422 1044703 1397274 2089406 2561669 3134109 5123338 6268218 7685007 15370014 17000167 34000334 51000501 102001002 187001837 374003674 561005511 1122011022