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12001313311 = 1319456710639
BaseRepresentation
bin10110010110101010…
…11000001000011111
31010222101120212212121
423023111120020133
5144034314011221
65302513443411
7603255323431
oct131325301037
933871525777
1012001313311
1150a9479359
1223ab270567
131193504530
1481bc80651
154a392ea41
hex2cb55821f

12001313311 has 16 divisors (see below), whose sum is σ = 13608985600. Its totient is φ = 10491791328.

The previous prime is 12001313279. The next prime is 12001313321. The reversal of 12001313311 is 11331310021.

12001313311 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 12001313311 - 25 = 12001313279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001313321) 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, 1122730 + ... + 1133368.

It is an arithmetic number, because the mean of its divisors is an integer number (850561600).

Almost surely, 212001313311 is an apocalyptic number.

12001313311 is a deficient number, since it is larger than the sum of its proper divisors (1607672289).

12001313311 is a wasteful number, since it uses less digits than its factorization.

12001313311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15238.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 12001313311 its reverse (11331310021), we get a palindrome (23332623332).

The spelling of 12001313311 in words is "twelve billion, one million, three hundred thirteen thousand, three hundred eleven".

Divisors: 1 13 19 247 4567 10639 59371 86773 138307 202141 1128049 2627833 48588313 631648069 923177947 12001313311