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11052504333 = 3213261736097
BaseRepresentation
bin10100100101100011…
…11101010100001101
31001112021020101122100
422102301331110031
5140113420114313
65024421305313
7540614510463
oct122261752415
931467211570
1011052504333
11476193a102
122185565239
131071a7b8c0
1476bc5a833
1544a4b1173
hex292c7d50d

11052504333 has 24 divisors (see below), whose sum is σ = 17199830648. Its totient is φ = 6798753792.

The previous prime is 11052504299. The next prime is 11052504391. The reversal of 11052504333 is 33340525011.

11052504333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1128758409 + 9923745924 = 33597^2 + 99618^2 .

It is not a de Polignac number, because 11052504333 - 29 = 11052503821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11052504297 and 11052504306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11052504833) 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 23 ways as a sum of consecutive naturals, for example, 288141 + ... + 324237.

Almost surely, 211052504333 is an apocalyptic number.

11052504333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11052504333 is a deficient number, since it is larger than the sum of its proper divisors (6147326315).

11052504333 is a wasteful number, since it uses less digits than its factorization.

11052504333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38733 (or 38730 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 11052504333 in words is "eleven billion, fifty-two million, five hundred four thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 2617 7851 23553 34021 36097 102063 108291 306189 324873 469261 1407783 4223349 94465849 283397547 850192641 1228056037 3684168111 11052504333