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12400201333 = 137113434671
BaseRepresentation
bin10111000110001110…
…00000111001110101
31012000012011111101001
423203013000321311
5200343422420313
65410243203301
7616200654322
oct134307007165
935005144331
1012400201333
115293654883
1224a0976531
131228046950
14858c35b49
154c8973add
hex2e31c0e75

12400201333 has 8 divisors (see below), whose sum is σ = 13542149376. Its totient is φ = 11285122800.

The previous prime is 12400201279. The next prime is 12400201343. The reversal of 12400201333 is 33310200421.

12400201333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12400201333 - 229 = 11863330421 is a prime.

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 12400201333.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12400201343) 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 7 ways as a sum of consecutive naturals, for example, 6716413 + ... + 6718258.

It is an arithmetic number, because the mean of its divisors is an integer number (1692768672).

Almost surely, 212400201333 is an apocalyptic number.

12400201333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12400201333 is a deficient number, since it is larger than the sum of its proper divisors (1141948043).

12400201333 is a wasteful number, since it uses less digits than its factorization.

12400201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434755.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 12400201333 its reverse (33310200421), we get a palindrome (45710401754).

The spelling of 12400201333 in words is "twelve billion, four hundred million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 13 71 923 13434671 174650723 953861641 12400201333