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10432104202 = 21397109137277
BaseRepresentation
bin10011011011100110…
…10100011100001010
3222221000211210122201
421231303110130022
5132331104313302
64443100110414
7516342264652
oct115563243412
928830753581
1010432104202
114473718323
12203183540a
13ca338c730
1470d6c3362
15410cb3c87
hex26dcd470a

10432104202 has 64 divisors (see below), whose sum is σ = 17369684640. Its totient is φ = 4670078976.

The previous prime is 10432104191. The next prime is 10432104203. The reversal of 10432104202 is 20240123401.

10432104202 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 16 ways, for example, as 198556281 + 10233547921 = 14091^2 + 101161^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10432104202.

It is not an unprimeable number, because it can be changed into a prime (10432104203) 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 31 ways as a sum of consecutive naturals, for example, 37660888 + ... + 37661164.

Almost surely, 210432104202 is an apocalyptic number.

10432104202 is a deficient number, since it is larger than the sum of its proper divisors (6937580438).

10432104202 is a wasteful number, since it uses less digits than its factorization.

10432104202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10432104202 its reverse (20240123401), we get a palindrome (30672227603).

The spelling of 10432104202 in words is "ten billion, four hundred thirty-two million, one hundred four thousand, two hundred two".

Divisors: 1 2 13 26 97 109 137 194 218 274 277 554 1261 1417 1781 2522 2834 3562 3601 7202 10573 13289 14933 21146 26578 26869 29866 30193 37949 53738 60386 75898 137449 172757 194129 274898 345514 349297 388258 392509 493337 698594 785018 986674 1448501 2897002 2928721 3681053 4136441 5857442 7362106 8272882 18830513 37661026 38073373 47853689 53773733 76146746 95707378 107547466 401234777 802469554 5216052101 10432104202