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1131131322 = 23279210069
BaseRepresentation
bin100001101101011…
…1011000110111010
32220211102102110200
41003122323012322
54304032200242
6304124023030
740013312646
oct10332730672
92824372420
101131131322
11530548782
12276991a76
13150460899
14aa323c26
156948504c
hex436bb1ba

1131131322 has 36 divisors (see below), whose sum is σ = 2482446330. Its totient is φ = 372234096.

The previous prime is 1131131299. The next prime is 1131131327. The reversal of 1131131322 is 2231311311.

1131131322 is a `hidden beast` number, since 1 + 1 + 311 + 31 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1054235961 + 76895361 = 32469^2 + 8769^2 .

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 = 1131131295 and 1131131304.

It is not an unprimeable number, because it can be changed into a prime (1131131327) 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 17 ways as a sum of consecutive naturals, for example, 107304 + ... + 117372.

Almost surely, 21131131322 is an apocalyptic number.

1131131322 is an abundant number, since it is smaller than the sum of its proper divisors (1351315008).

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

1131131322 is a wasteful number, since it uses less digits than its factorization.

1131131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10235 (or 10153 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1131131322 is about 33632.2958181567. The cubic root of 1131131322 is about 1041.9279210337.

Adding to 1131131322 its reverse (2231311311), we get a palindrome (3362442633).

The spelling of 1131131322 in words is "one billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 79 158 237 474 711 1422 6241 10069 12482 18723 20138 30207 37446 56169 60414 90621 112338 181242 795451 1590902 2386353 4772706 7159059 14318118 62840629 125681258 188521887 377043774 565565661 1131131322