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33044022033 = 311131151223227
BaseRepresentation
bin11110110001100100…
…111100001100010001
310011021220011020120220
4132301210330030101
51020133232201113
623102532023253
72246601360441
oct366144741421
9104256136526
1033044022033
1113017541920
1264a2461b29
133167c20a79
141856830121
15cd5eb6523
hex7b193c311

33044022033 has 64 divisors (see below), whose sum is σ = 49186013184. Its totient is φ = 19567080000.

The previous prime is 33044021993. The next prime is 33044022059. The reversal of 33044022033 is 33022044033.

It is not a de Polignac number, because 33044022033 - 213 = 33044013841 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33044021994 and 33044022012.

It is not an unprimeable number, because it can be changed into a prime (33044022233) 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 63 ways as a sum of consecutive naturals, for example, 145568266 + ... + 145568492.

It is an arithmetic number, because the mean of its divisors is an integer number (768531456).

Almost surely, 233044022033 is an apocalyptic number.

33044022033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

33044022033 is a deficient number, since it is larger than the sum of its proper divisors (16141991151).

33044022033 is a wasteful number, since it uses less digits than its factorization.

33044022033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746.

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 33044022033 its reverse (33022044033), we get a palindrome (66066066066).

The spelling of 33044022033 in words is "thirty-three billion, forty-four million, twenty-two thousand, thirty-three".

Divisors: 1 3 11 33 131 151 223 227 393 453 669 681 1441 1661 2453 2497 4323 4983 7359 7491 19781 29213 29737 33673 34277 50621 59343 87639 89211 101019 102831 151863 217591 321343 327107 370403 377047 556831 652773 964029 981321 1111209 1131141 1670493 4411163 4490287 6631351 7643771 13233489 13470861 19894053 22931313 48522793 49393157 72944861 84081481 145568379 148179471 218834583 252244443 1001334001 3004002003 11014674011 33044022033