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1011133422 = 2331321011097
BaseRepresentation
bin111100010001001…
…010101111101110
32121110121220022000
4330101022233232
54032322232142
6244200033130
734025330565
oct7421125756
92543556260
101011133422
11479838562
122427627a6
13131637900
1498408bdc
155db8014c
hex3c44abee

1011133422 has 96 divisors (see below), whose sum is σ = 2459432160. Its totient is φ = 307756800.

The previous prime is 1011133421. The next prime is 1011133451. The reversal of 1011133422 is 2243311101.

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 = 1011133395 and 1011133404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011133421) 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 47 ways as a sum of consecutive naturals, for example, 921178 + ... + 922274.

It is an arithmetic number, because the mean of its divisors is an integer number (25619085).

Almost surely, 21011133422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011133422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229716080).

1011133422 is an abundant number, since it is smaller than the sum of its proper divisors (1448298738).

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

1011133422 is a wasteful number, since it uses less digits than its factorization.

1011133422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1216 counting only the distinct ones).

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

The square root of 1011133422 is about 31798.3242011273. The cubic root of 1011133422 is about 1003.6974526610.

Adding to 1011133422 its reverse (2243311101), we get a palindrome (3254444523).

The spelling of 1011133422 in words is "one billion, eleven million, one hundred thirty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 101 117 169 202 234 303 338 351 507 606 702 909 1014 1097 1313 1521 1818 2194 2626 2727 3042 3291 3939 4563 5454 6582 7878 9126 9873 11817 14261 17069 19746 23634 28522 29619 34138 35451 42783 51207 59238 70902 85566 102414 110797 128349 153621 185393 221594 256698 307242 332391 370786 385047 460863 556179 664782 770094 921726 997173 1112358 1440361 1668537 1994346 2880722 2991519 3337074 4321083 5005611 5983038 8642166 10011222 12963249 18724693 25926498 37449386 38889747 56174079 77779494 112348158 168522237 337044474 505566711 1011133422