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13351015331 = 1729154917483
BaseRepresentation
bin11000110111100100…
…00101001110100011
31021110110021211222022
430123302011032203
5204320324442311
610044450332055
7651564520643
oct143362051643
937413254868
1013351015331
115731333475
12270728a02b
13134a022094
1490921c523
1553218b5db
hex31bc853a3

13351015331 has 16 divisors (see below), whose sum is σ = 14634108000. Its totient is φ = 12123836928.

The previous prime is 13351015277. The next prime is 13351015339.

13351015331 is nontrivially palindromic in base 10.

13351015331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13351015331 - 230 = 12277273507 is a prime.

It is a super-2 number, since 2×133510153312 (a number of 21 digits) contains 22 as substring.

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 13351015331.

It is not an unprimeable number, because it can be changed into a prime (13351015339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754916 + ... + 772398.

It is an arithmetic number, because the mean of its divisors is an integer number (914631750).

Almost surely, 213351015331 is an apocalyptic number.

13351015331 is a deficient number, since it is larger than the sum of its proper divisors (1283092669).

13351015331 is a wasteful number, since it uses less digits than its factorization.

13351015331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19078.

The product of its (nonzero) digits is 2025, while the sum is 26.

It can be divided in two parts, 133510 and 15331, that added together give a palindrome (148841).

The spelling of 13351015331 in words is "thirteen billion, three hundred fifty-one million, fifteen thousand, three hundred thirty-one".

Divisors: 1 17 29 493 1549 17483 26333 44921 297211 507007 763657 8619119 27081167 460379839 785353843 13351015331