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10012538261 = 114363133547
BaseRepresentation
bin10010101001100101…
…10011010110010101
3221211210100122101102
421110302303112111
5131001202211021
64333311235445
7503056112435
oct112462632625
927753318342
1010012538261
1142788a9210
121b35218b85
13c3748a46b
146adaa82c5
153d903800b
hex254cb3595

10012538261 has 16 divisors (see below), whose sum is σ = 11194833408. Its totient is φ = 8876271600.

The previous prime is 10012538257. The next prime is 10012538267. The reversal of 10012538261 is 16283521001.

10012538261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10012538261 - 22 = 10012538257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012538267) 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, 281690 + ... + 315236.

It is an arithmetic number, because the mean of its divisors is an integer number (699677088).

Almost surely, 210012538261 is an apocalyptic number.

10012538261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012538261 is a deficient number, since it is larger than the sum of its proper divisors (1182295147).

10012538261 is a wasteful number, since it uses less digits than its factorization.

10012538261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34232.

The product of its (nonzero) digits is 2880, while the sum is 29.

The spelling of 10012538261 in words is "ten billion, twelve million, five hundred thirty-eight thousand, two hundred sixty-one".

Divisors: 1 11 43 473 631 6941 27133 33547 298463 369017 1442521 15867731 21168157 232849727 910230751 10012538261