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1121332122 = 232731376229
BaseRepresentation
bin100001011010110…
…0010101110011010
32220010222120111100
41002311202232122
54244030111442
6303134012230
736534110601
oct10265425632
92803876440
101121332122
11525a65469
12273647076
1314b40c541
14a8cd2a38
156869b84c
hex42d62b9a

1121332122 has 48 divisors (see below), whose sum is σ = 2481209640. Its totient is φ = 365907456.

The previous prime is 1121332117. The next prime is 1121332129. The reversal of 1121332122 is 2212331211.

It can be written as a sum of positive squares in 4 ways, for example, as 1015633161 + 105698961 = 31869^2 + 10281^2 .

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 = 1121332095 and 1121332104.

It is not an unprimeable number, because it can be changed into a prime (1121332129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176904 + ... + 183132.

Almost surely, 21121332122 is an apocalyptic number.

1121332122 is an abundant number, since it is smaller than the sum of its proper divisors (1359877518).

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

1121332122 is a wasteful number, since it uses less digits than its factorization.

1121332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6447 (or 6444 counting only the distinct ones).

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

The square root of 1121332122 is about 33486.2975260031. The cubic root of 1121332122 is about 1038.9103855534.

Adding to 1121332122 its reverse (2212331211), we get a palindrome (3333663333).

The spelling of 1121332122 in words is "one billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 137 146 219 274 411 438 657 822 1233 1314 2466 6229 10001 12458 18687 20002 30003 37374 56061 60006 90009 112122 180018 454717 853373 909434 1364151 1706746 2560119 2728302 4092453 5120238 7680357 8184906 15360714 62296229 124592458 186888687 373777374 560666061 1121332122