Search a number
-
+
310023343320013 = 31131127959688527
BaseRepresentation
bin100011001111101101110111…
…1010000000010101111001101
31111122200221102211202100210101
41012133123233100002233031
5311113410301342220023
63015210431401411101
7122205306313110061
oct10637335720025715
91448627384670711
10310023343320013
118a868186015354
122a930726499a91
13103cb0ca7a701b
14567b2d1ca1aa1
1525c9642ccb1ad
hex119f6ef402bcd

310023343320013 has 16 divisors (see below), whose sum is σ = 322719158108160. Its totient is φ = 297499551289200.

The previous prime is 310023343319927. The next prime is 310023343320043.

310023343320013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-310023343320013 is a prime.

It is a super-2 number, since 2×3100233433200132 (a number of 30 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 (310023343320043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24650245 + ... + 35038282.

It is an arithmetic number, because the mean of its divisors is an integer number (20169947381760).

Almost surely, 2310023343320013 is an apocalyptic number.

It is an amenable number.

310023343320013 is a deficient number, since it is larger than the sum of its proper divisors (12695814788147).

310023343320013 is a wasteful number, since it uses less digits than its factorization.

310023343320013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59689968.

The product of its (nonzero) digits is 11664, while the sum is 28.

The spelling of 310023343320013 in words is "three hundred ten trillion, twenty-three billion, three hundred forty-three million, three hundred twenty thousand, thirteen".

Divisors: 1 31 131 1279 4061 39649 167549 5194019 59688527 1850344337 7819197037 76341626033 242395108147 2366590407023 10000753010323 310023343320013