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12333230321023 = 1916725716379239
BaseRepresentation
bin1011001101111000110111…
…0011111110110101111111
31121200001020000201100022001
42303132031303332311333
53104031423430233043
642121450252203131
72412021642010303
oct263361563766577
947601200640261
1012333230321023
113a25547a98127
121472319a694a7
136b6031c0a231
14308d081a7d03
15165c37ae574d
hexb378dcfed7f

12333230321023 has 32 divisors (see below), whose sum is σ = 13120332825600. Its totient is φ = 11560638357504.

The previous prime is 12333230320981. The next prime is 12333230321039. The reversal of 12333230321023 is 32012303233321.

It is a cyclic number.

It is not a de Polignac number, because 12333230321023 - 229 = 12332693450111 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12333230320982 and 12333230321000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12333230321323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1334905038 + ... + 1334914276.

It is an arithmetic number, because the mean of its divisors is an integer number (410010400800).

Almost surely, 212333230321023 is an apocalyptic number.

12333230321023 is a deficient number, since it is larger than the sum of its proper divisors (787102504577).

12333230321023 is a wasteful number, since it uses less digits than its factorization.

12333230321023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11319.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 12333230321023 its reverse (32012303233321), we get a palindrome (44345533554344).

The spelling of 12333230321023 in words is "twelve trillion, three hundred thirty-three billion, two hundred thirty million, three hundred twenty-one thousand, twenty-three".

Divisors: 1 19 167 257 1637 3173 4883 9239 31103 42919 175541 273379 420709 815461 1542913 2374423 5194201 7993471 15124243 29315347 45114037 70258403 287360617 396528641 1334909657 2525748581 3886930451 7534044179 47989223039 73851678569 649117385317 12333230321023