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1133212122 = 2327210112721
BaseRepresentation
bin100001110001011…
…0111000111011010
32220222100010210100
41003202313013122
54310100241442
6304240400230
740040100300
oct10342670732
92828303710
101133212122
1153173a049
12277616076
13150a0ba23
14aa706270
156974684c
hex438b71da

1133212122 has 72 divisors (see below), whose sum is σ = 2884662612. Its totient is φ = 320544000.

The previous prime is 1133212121. The next prime is 1133212123. The reversal of 1133212122 is 2212123311.

1133212122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1133212121) and next prime (1133212123).

It can be written as a sum of positive squares in 2 ways, for example, as 865595241 + 267616881 = 29421^2 + 16359^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1133212095 and 1133212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133212121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82722 + ... + 95442.

Almost surely, 21133212122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133212122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442331306).

1133212122 is an abundant number, since it is smaller than the sum of its proper divisors (1751450490).

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

1133212122 is a wasteful number, since it uses less digits than its factorization.

1133212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12844 (or 12834 counting only the distinct ones).

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

The square root of 1133212122 is about 33663.2161565112. The cubic root of 1133212122 is about 1042.5664309064.

Adding to 1133212122 its reverse (2212123311), we get a palindrome (3345335433).

The spelling of 1133212122 in words is "one billion, one hundred thirty-three million, two hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 441 606 707 882 909 1414 1818 2121 4242 4949 6363 9898 12721 12726 14847 25442 29694 38163 44541 76326 89047 89082 114489 178094 228978 267141 534282 623329 801423 1246658 1284821 1602846 1869987 2569642 3739974 3854463 5609961 7708926 8993747 11219922 11563389 17987494 23126778 26981241 53962482 62956229 80943723 125912458 161887446 188868687 377737374 566606061 1133212122