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12123432301333 = 1713119727633707
BaseRepresentation
bin1011000001101011010011…
…1000000011001100010101
31120220222200211201200120111
42300122310320003030111
53042112242132120313
641441232232403021
72360613645164233
oct260326470031425
946828624650514
1012123432301333
1139545785277a1
121439728b46471
1369c3089cc392
142dcac4add953
151605593ae43d
hexb06b4e03315

12123432301333 has 16 divisors (see below), whose sum is σ = 13000222661184. Its totient is φ = 11265709262080.

The previous prime is 12123432301307. The next prime is 12123432301361. The reversal of 12123432301333 is 33310323432121.

It is a cyclic number.

It is not a de Polignac number, because 12123432301333 - 29 = 12123432300821 is a prime.

It is a super-2 number, since 2×121234323013332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12123432301295 and 12123432301304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12123432301363) 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, 13378135 + ... + 14255572.

It is an arithmetic number, because the mean of its divisors is an integer number (812513916324).

Almost surely, 212123432301333 is an apocalyptic number.

It is an amenable number.

12123432301333 is a deficient number, since it is larger than the sum of its proper divisors (876790359851).

12123432301333 is a wasteful number, since it uses less digits than its factorization.

12123432301333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27634052.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 12123432301333 its reverse (33310323432121), we get a palindrome (45433755733454).

The spelling of 12123432301333 in words is "twelve trillion, one hundred twenty-three billion, four hundred thirty-two million, three hundred one thousand, three hundred thirty-three".

Divisors: 1 17 131 197 2227 3349 25807 438719 27633707 469773019 3620015617 5443840279 61540265489 92545284743 713143076549 12123432301333