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10334020014331 = 1313958764115199
BaseRepresentation
bin1001011001100001001110…
…0101111001000011111011
31100120220220121211001220021
42112120103211321003323
52323303033110424311
633551214441111311
72114415435541126
oct226302345710373
940526817731807
1010334020014331
1133246a6988642
1211aa976488537
1359c65615a710
1427a25255d3bd
1512dc29106171
hex966139790fb

10334020014331 has 32 divisors (see below), whose sum is σ = 11246360832000. Its totient is φ = 9438964715520.

The previous prime is 10334020014319. The next prime is 10334020014337. The reversal of 10334020014331 is 13341002043301.

It is a cyclic number.

It is not a de Polignac number, because 10334020014331 - 27 = 10334020014203 is a prime.

It is a super-2 number, since 2×103340200143312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10334020014296 and 10334020014305.

It is not an unprimeable number, because it can be changed into a prime (10334020014337) 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, 679906870 + ... + 679922068.

It is an arithmetic number, because the mean of its divisors is an integer number (351448776000).

Almost surely, 210334020014331 is an apocalyptic number.

10334020014331 is a deficient number, since it is larger than the sum of its proper divisors (912340817669).

10334020014331 is a wasteful number, since it uses less digits than its factorization.

10334020014331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16579.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 10334020014331 its reverse (13341002043301), we get a palindrome (23675022057632).

The spelling of 10334020014331 in words is "ten trillion, three hundred thirty-four billion, twenty million, fourteen thousand, three hundred thirty-one".

Divisors: 1 13 139 587 641 1807 7631 8333 15199 81593 89099 197587 376267 1060709 1158287 2112661 4891471 8921813 9742559 27464593 52301113 115983569 126653267 679914469 1240132007 1354215701 5718882133 16121716091 17604804113 74345467729 794924616487 10334020014331