Search a number
-
+
310423121324013 = 32910964661506251
BaseRepresentation
bin100011010010101000000001…
…1111000000110011111101101
31111201010011100001121011112010
41012211100003320012133231
5311141433023024332023
63020114225131431433
7122246221221062325
oct10645200370063755
91451104301534463
10310423121324013
118aa01785300885
122a9960b72b5579
1310429a0c129289
1456927b8798285
1525d4c3ee73093
hex11a5403e067ed

310423121324013 has 32 divisors (see below), whose sum is σ = 432105522076800. Its totient is φ = 197975988000000.

The previous prime is 310423121323957. The next prime is 310423121324027.

310423121324013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 310423121324013 - 212 = 310423121319917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310423121323013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 612927138 + ... + 613433388.

It is an arithmetic number, because the mean of its divisors is an integer number (13503297564900).

Almost surely, 2310423121324013 is an apocalyptic number.

It is an amenable number.

310423121324013 is a deficient number, since it is larger than the sum of its proper divisors (121682400752787).

310423121324013 is a wasteful number, since it uses less digits than its factorization.

310423121324013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571053.

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 310423121324013 in words is "three hundred ten trillion, four hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-four thousand, thirteen".

Divisors: 1 3 29 87 109 327 3161 9483 64661 193983 506251 1518753 1875169 5625507 7048049 14681279 21144147 44043837 55181359 165544077 204393421 613180263 1600259411 4800778233 32734695911 98204087733 949306181419 2847918544257 3568081854299 10704245562897 103474373774671 310423121324013