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1122033012 = 2232321119267
BaseRepresentation
bin100001011100000…
…1101110101110100
32220012022011221020
41002320031311310
54244220024022
6303201021140
736543060162
oct10270156564
92805264836
101122033012
115263a4011
122739247b0
1314b5c6579
14a9036232
156878935c
hex42e0dd74

1122033012 has 48 divisors (see below), whose sum is σ = 2744996352. Its totient is φ = 356035680.

The previous prime is 1122032969. The next prime is 1122033053. The reversal of 1122033012 is 2103302211.

It is a junction number, because it is equal to n+sod(n) for n = 1122032982 and 1122033000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48603 + ... + 67869.

It is an arithmetic number, because the mean of its divisors is an integer number (57187424).

Almost surely, 21122033012 is an apocalyptic number.

1122033012 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 1122033012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372498176).

1122033012 is an abundant number, since it is smaller than the sum of its proper divisors (1622963340).

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

1122033012 is a wasteful number, since it uses less digits than its factorization.

1122033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19508 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1122033012 is about 33496.7612165714. The cubic root of 1122033012 is about 1039.1267978680.

Adding to 1122033012 its reverse (2103302211), we get a palindrome (3225335223).

The spelling of 1122033012 in words is "one billion, one hundred twenty-two million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 211 276 422 633 844 1266 2532 4853 9706 14559 19267 19412 29118 38534 57801 58236 77068 115602 231204 443141 886282 1329423 1772564 2658846 4065337 5317692 8130674 12196011 16261348 24392022 48784044 93502751 187005502 280508253 374011004 561016506 1122033012