Search a number
-
+
10240613321 = 371693163481
BaseRepresentation
bin10011000100110001…
…10101101111001001
3222102200112001112212
421202120311233021
5131433044111241
64412055514505
7511525530341
oct114230655711
928380461485
1010240613321
1143856173a4
121b99688a35
13c727c4513
146d20b7d21
153ee08abeb
hex262635bc9

10240613321 has 8 divisors (see below), whose sum is σ = 10523663304. Its totient is φ = 9957893760.

The previous prime is 10240613309. The next prime is 10240613333. The reversal of 10240613321 is 12331604201.

10240613321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10240613309) and next prime (10240613333).

It can be written as a sum of positive squares in 4 ways, for example, as 5335572025 + 4905041296 = 73045^2 + 70036^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10240613321 is a prime.

It is a super-2 number, since 2×102406133212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10240613921) 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, 19100 + ... + 144381.

It is an arithmetic number, because the mean of its divisors is an integer number (1315457913).

Almost surely, 210240613321 is an apocalyptic number.

It is an amenable number.

10240613321 is a deficient number, since it is larger than the sum of its proper divisors (283049983).

10240613321 is a wasteful number, since it uses less digits than its factorization.

10240613321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165211.

The product of its (nonzero) digits is 864, while the sum is 23.

The spelling of 10240613321 in words is "ten billion, two hundred forty million, six hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 37 1693 62641 163481 6048797 276773333 10240613321