Search a number
-
+
12313203332133 = 3111125733314537
BaseRepresentation
bin1011001100101110010000…
…0111000101010000100101
31121121010112022101220020210
42303023210013011100211
53103214420023112013
642104335120250033
72410412441265504
oct263134407052045
947533468356223
1012313203332133
113a18000304a40
12146a46aa70919
136b418ca73052
14307d6849883b
151654647e7cc3
hexb32e41c5425

12313203332133 has 16 divisors (see below), whose sum is σ = 17910278438976. Its totient is φ = 7462478931840.

The previous prime is 12313203332123. The next prime is 12313203332197. The reversal of 12313203332133 is 33123330231321.

It is not a de Polignac number, because 12313203332133 - 216 = 12313203266597 is a prime.

It is a super-4 number, since 4×123132033321334 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 12313203332133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313203332123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057641 + ... + 5372177.

It is an arithmetic number, because the mean of its divisors is an integer number (1119392402436).

Almost surely, 212313203332133 is an apocalyptic number.

It is an amenable number.

12313203332133 is a deficient number, since it is larger than the sum of its proper divisors (5597075106843).

12313203332133 is a wasteful number, since it uses less digits than its factorization.

12313203332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427124.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 12313203332133 its reverse (33123330231321), we get a palindrome (45436533563454).

The spelling of 12313203332133 in words is "twelve trillion, three hundred thirteen billion, two hundred three million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 11 33 112573 337719 1238303 3314537 3714909 9943611 36459907 109379721 373127373701 1119382121103 4104401110711 12313203332133