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10341322314301 = 11359100912012161
BaseRepresentation
bin1001011001111100011011…
…0101111101001000111101
31100121121202112101100021201
42112133012311331020331
52323413012003024201
633554423214455501
72115064415216326
oct226370665751075
940547675340251
1010341322314301
1133278039376a0
1211b0273b04591
135a024ac88284
1427a7462cb44d
1512e005235801
hex967c6d7d23d

10341322314301 has 32 divisors (see below), whose sum is σ = 11338752556800. Its totient is φ = 9353594880000.

The previous prime is 10341322314247. The next prime is 10341322314437.

10341322314301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10341322314301 - 213 = 10341322306109 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 10341322314301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341322317301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4785432661 + ... + 4785434821.

It is an arithmetic number, because the mean of its divisors is an integer number (354336017400).

Almost surely, 210341322314301 is an apocalyptic number.

10341322314301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10341322314301 is a deficient number, since it is larger than the sum of its proper divisors (997430242499).

10341322314301 is a wasteful number, since it uses less digits than its factorization.

10341322314301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4741.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 1034132 and 2314301, that added together give a palindrome (3348433).

The spelling of 10341322314301 in words is "ten trillion, three hundred forty-one billion, three hundred twenty-two million, three hundred fourteen thousand, three hundred one".

Divisors: 1 11 359 1009 1201 2161 3949 11099 13211 23771 362231 431159 775799 1211809 2180449 2595361 3984541 4742749 8533789 13329899 23984939 28548971 435039431 782781191 931734599 2618719249 4785433741 8610593101 10249080589 28805911739 940120210391 10341322314301