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10344444301 = 193275319469
BaseRepresentation
bin10011010001001001…
…11011000110001101
3222200220220012212201
421220210323012031
5132141134204201
64430245201501
7514226216512
oct115044730615
928626805781
1010344444301
114429195124
122008400291
13c8b179979
14701bc5309
1540824a801
hex26893b18d

10344444301 has 8 divisors (see below), whose sum is σ = 10402353720. Its totient is φ = 10286579712.

The previous prime is 10344444293. The next prime is 10344444311.

It is a happy number.

10344444301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 1944721801 + 8399722500 = 44099^2 + 91650^2 .

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 10344444301 - 23 = 10344444293 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10344444301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344444311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 521595 + ... + 541063.

It is an arithmetic number, because the mean of its divisors is an integer number (1300294215).

Almost surely, 210344444301 is an apocalyptic number.

It is an amenable number.

10344444301 is a deficient number, since it is larger than the sum of its proper divisors (57909419).

10344444301 is a wasteful number, since it uses less digits than its factorization.

10344444301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22415.

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 10344444301 in words is "ten billion, three hundred forty-four million, four hundred forty-four thousand, three hundred one".

Divisors: 1 193 2753 19469 531329 3757517 53598157 10344444301