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12355121883 = 3131213261169
BaseRepresentation
bin10111000000110110…
…00011001011011011
31011220001100012222210
423200123003023123
5200300402400013
65401553050203
7615112542336
oct134033031333
934801305883
1012355121883
115270164a35
122489856963
13121b8c2110
14852c5d61d
154c4a1bcc3
hex2e06c32db

12355121883 has 16 divisors (see below), whose sum is σ = 17755381280. Its totient is φ = 7596854784.

The previous prime is 12355121873. The next prime is 12355121941. The reversal of 12355121883 is 38812155321.

12355121883 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12355121883 - 26 = 12355121819 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12355121873) 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, 83278 + ... + 177891.

It is an arithmetic number, because the mean of its divisors is an integer number (1109711330).

Almost surely, 212355121883 is an apocalyptic number.

12355121883 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12355121883 is a deficient number, since it is larger than the sum of its proper divisors (5400259397).

12355121883 is a wasteful number, since it uses less digits than its factorization.

12355121883 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262398.

The product of its digits is 57600, while the sum is 39.

The spelling of 12355121883 in words is "twelve billion, three hundred fifty-five million, one hundred twenty-one thousand, eight hundred eighty-three".

Divisors: 1 3 13 39 1213 3639 15769 47307 261169 783507 3395197 10185591 316797997 950393991 4118373961 12355121883