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12335244133431 = 35717719214281
BaseRepresentation
bin1011001110000000010111…
…0110000100010000110111
31121200020102101001121120210
42303200011312010100313
53104100034444232211
642122422151200503
72412122564100432
oct263400566042067
947606371047523
1012335244133431
113a263908091aa
1214727a0376133
136b62931ac4cb
1430905981a819
15165d047d59a6
hexb3805d84437

12335244133431 has 8 divisors (see below), whose sum is σ = 16449869057904. Its totient is φ = 8222057648960.

The previous prime is 12335244133393. The next prime is 12335244133441. The reversal of 12335244133431 is 13433144253321.

It is a happy number.

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 12335244133431 - 218 = 12335243871287 is a prime.

It is a super-4 number, since 4×123352441334314 (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 12335244133431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12335244133441) 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 7 ways as a sum of consecutive naturals, for example, 359589990 + ... + 359624291.

It is an arithmetic number, because the mean of its divisors is an integer number (2056233632238).

Almost surely, 212335244133431 is an apocalyptic number.

12335244133431 is a deficient number, since it is larger than the sum of its proper divisors (4114624924473).

12335244133431 is an equidigital number, since it uses as much as digits as its factorization.

12335244133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719220001.

The product of its digits is 311040, while the sum is 39.

Adding to 12335244133431 its reverse (13433144253321), we get a palindrome (25768388386752).

The spelling of 12335244133431 in words is "twelve trillion, three hundred thirty-five billion, two hundred forty-four million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 5717 17151 719214281 2157642843 4111748044477 12335244133431