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10316668041 = 32338572
BaseRepresentation
bin10011001101110101…
…11101110010001001
3222121222122001000100
421212322331302021
5132112031334131
64423414000013
7513441142251
oct114672756211
928558561010
1010316668041
114414543439
121bbb046009
13c854a2c04
146dc234961
15405ab07e6
hex266ebdc89

10316668041 has 9 divisors (see below), whose sum is σ = 14902293991. Its totient is φ = 6877575552.

The previous prime is 10316668039. The next prime is 10316668049. The reversal of 10316668041 is 14086661301.

The square root of 10316668041 is 101571.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10315449225 + 1218816 = 101565^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 10316668041 - 21 = 10316668039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10316667987 and 10316668005.

It is not an unprimeable number, because it can be changed into a prime (10316668049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 287785 + ... + 321641.

Almost surely, 210316668041 is an apocalyptic number.

10316668041 is the 101571-st square number.

10316668041 is the 50786-th centered octagonal number.

It is an amenable number.

10316668041 is a deficient number, since it is larger than the sum of its proper divisors (4585625950).

10316668041 is an frugal number, since it uses more digits than its factorization.

10316668041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67720 (or 33860 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 10316668041 by its sum of digits (36), we get a square (371400049476 = 6094262).

Multiplying 10316668041 by its product of nonzero digits (20736), we get a square (213926428498176 = 146262242).

The spelling of 10316668041 in words is "ten billion, three hundred sixteen million, six hundred sixty-eight thousand, forty-one".

Divisors: 1 3 9 33857 101571 304713 1146296449 3438889347 10316668041