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10900508317 = 229104945377
BaseRepresentation
bin10100010011011100…
…01000111010011101
31001010200020012022021
422021232020322131
5134311012231232
65001351420141
7534060535426
oct121156107235
931120205267
1010900508317
114694064266
122142684651
13104943132a
147559b264d
1543be8a397
hex289b88e9d

10900508317 has 8 divisors (see below), whose sum is σ = 10958787000. Its totient is φ = 10842322944.

The previous prime is 10900508309. The next prime is 10900508363. The reversal of 10900508317 is 71380500901.

It is a happy number.

10900508317 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 6883357156 + 4017151161 = 82966^2 + 63381^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10900508317 - 23 = 10900508309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10900508917) 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 7 ways as a sum of consecutive naturals, for example, 217533 + ... + 262909.

It is an arithmetic number, because the mean of its divisors is an integer number (1369848375).

Almost surely, 210900508317 is an apocalyptic number.

It is an amenable number.

10900508317 is a deficient number, since it is larger than the sum of its proper divisors (58278683).

10900508317 is a wasteful number, since it uses less digits than its factorization.

10900508317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46655.

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 10900508317 in words is "ten billion, nine hundred million, five hundred eight thousand, three hundred seventeen".

Divisors: 1 229 1049 45377 240221 10391333 47600473 10900508317