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1121323332 = 2231737532803
BaseRepresentation
bin100001011010110…
…0000100101000100
32220010222010102210
41002311200211010
54244024321312
6303133503420
736534043143
oct10265404504
92803863383
101121323332
11525a598a8
12273641b70
1314b40853c
14a8ccd75a
1568698e3c
hex42d60944

1121323332 has 96 divisors (see below), whose sum is σ = 2899919232. Its totient is φ = 335702016.

The previous prime is 1121323331. The next prime is 1121323339. The reversal of 1121323332 is 2333231211.

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 = 1121323299 and 1121323308.

It is not an unprimeable number, because it can be changed into a prime (1121323331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398643 + ... + 401445.

It is an arithmetic number, because the mean of its divisors is an integer number (30207492).

Almost surely, 21121323332 is an apocalyptic number.

1121323332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121323332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449959616).

1121323332 is an abundant number, since it is smaller than the sum of its proper divisors (1778595900).

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

1121323332 is a wasteful number, since it uses less digits than its factorization.

1121323332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2915 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1121323332 is about 33486.1662780319. The cubic root of 1121323332 is about 1038.9076709113.

Adding to 1121323332 its reverse (2333231211), we get a palindrome (3454554543).

The spelling of 1121323332 in words is "one billion, one hundred twenty-one million, three hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 53 68 74 102 106 111 148 159 204 212 222 318 444 629 636 901 1258 1802 1887 1961 2516 2703 2803 3604 3774 3922 5406 5606 5883 7548 7844 8409 10812 11212 11766 16818 23532 33337 33636 47651 66674 95302 100011 103711 133348 142953 148559 190604 200022 207422 285906 297118 311133 400044 414844 445677 571812 594236 622266 891354 1244532 1763087 1782708 2525503 3526174 5051006 5289261 5496683 7052348 7576509 10102012 10578522 10993366 15153018 16490049 21157044 21986732 30306036 32980098 65960196 93443611 186887222 280330833 373774444 560661666 1121323332