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1122033133 = 131715133623
BaseRepresentation
bin100001011100000…
…1101110111101101
32220012022012002201
41002320031313231
54244220030013
6303201021501
736543060424
oct10270156755
92805265081
101122033133
115263a4111
12273924891
1314b5c6640
14a90362bb
15687893dd
hex42e0dded

1122033133 has 16 divisors (see below), whose sum is σ = 1287933696. Its totient is φ = 968313600.

The previous prime is 1122033119. The next prime is 1122033179. The reversal of 1122033133 is 3313302211.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1122033133 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1122033133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122033233) 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 15 ways as a sum of consecutive naturals, for example, 16560 + ... + 50182.

It is an arithmetic number, because the mean of its divisors is an integer number (80495856).

Almost surely, 21122033133 is an apocalyptic number.

1122033133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1122033133 is a deficient number, since it is larger than the sum of its proper divisors (165900563).

1122033133 is a wasteful number, since it uses less digits than its factorization.

1122033133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33804.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1122033133 is about 33496.7630227161. The cubic root of 1122033133 is about 1039.1268352211.

Adding to 1122033133 its reverse (3313302211), we get a palindrome (4435335344).

The spelling of 1122033133 in words is "one billion, one hundred twenty-two million, thirty-three thousand, one hundred thirty-three".

Divisors: 1 13 17 151 221 1963 2567 33371 33623 437099 571591 5077073 7430683 66001949 86310241 1122033133