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10642223133 = 3219337318451
BaseRepresentation
bin10011110100101001…
…10111000000011101
31000110200012221122100
421322110313000131
5133243402120013
64520003435313
7524503255413
oct117224670035
930420187570
1010642223133
114571291833
122090085b39
131007a7a769
1472d57b2b3
1542446b473
hex27a53701d

10642223133 has 24 divisors (see below), whose sum is σ = 16186832480. Its totient is φ = 6719047200.

The previous prime is 10642223131. The next prime is 10642223147. The reversal of 10642223133 is 33132224601.

10642223133 is a `hidden beast` number, since 1 + 0 + 6 + 422 + 231 + 3 + 3 = 666.

10642223133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10642223133 - 21 = 10642223131 is a prime.

It is a super-2 number, since 2×106422231332 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10642223097 and 10642223106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642223131) 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, 567558 + ... + 586008.

Almost surely, 210642223133 is an apocalyptic number.

It is an amenable number.

10642223133 is a deficient number, since it is larger than the sum of its proper divisors (5544609347).

10642223133 is a wasteful number, since it uses less digits than its factorization.

10642223133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21849 (or 21846 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10642223133 its reverse (33132224601), we get a palindrome (43774447734).

The spelling of 10642223133 in words is "ten billion, six hundred forty-two million, two hundred twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 19 57 171 3373 10119 18451 30357 55353 64087 166059 192261 350569 576783 1051707 3155121 62235223 186705669 560117007 1182469237 3547407711 10642223133