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10009331319 = 313256649521
BaseRepresentation
bin10010101001001101…
…00100011001110111
3221211120022201021210
421110212210121313
5130444342100234
64333114412503
7503016624651
oct112446443167
927746281253
1010009331319
114277008849
121b34131133
13c36906870
146ad4b16d1
153d8b02be9
hex2549a4677

10009331319 has 8 divisors (see below), whose sum is σ = 14372373232. Its totient is φ = 6159588480.

The previous prime is 10009331317. The next prime is 10009331323. The reversal of 10009331319 is 91313390001.

It is a happy number.

10009331319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10009331319 - 21 = 10009331317 is a prime.

It is a super-2 number, since 2×100093313192 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10009331317) 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, 128324722 + ... + 128324799.

It is an arithmetic number, because the mean of its divisors is an integer number (1796546654).

Almost surely, 210009331319 is an apocalyptic number.

10009331319 is a deficient number, since it is larger than the sum of its proper divisors (4363041913).

10009331319 is a wasteful number, since it uses less digits than its factorization.

10009331319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256649537.

The product of its (nonzero) digits is 2187, while the sum is 30.

The spelling of 10009331319 in words is "ten billion, nine million, three hundred thirty-one thousand, three hundred nineteen".

Divisors: 1 3 13 39 256649521 769948563 3336443773 10009331319