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12233133201013 = 374360371273639
BaseRepresentation
bin1011001000000011111110…
…0011110001011001110101
31121022110212002022210102221
42302000333203301121311
53100411424044413023
642003453535402341
72401546305353134
oct262007743613165
947273762283387
1012233133201013
11399705185835a
121456a436833b1
136a976c254b3a
143041302a591b
1516332a0c485d
hexb203f8f1675

12233133201013 has 16 divisors (see below), whose sum is σ = 12858078471040. Its totient is φ = 11623770599616.

The previous prime is 12233133200989. The next prime is 12233133201089. The reversal of 12233133201013 is 31010233133221.

It is a cyclic number.

It is not a de Polignac number, because 12233133201013 - 29 = 12233133200501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233133231013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8968048 + ... + 10241686.

It is an arithmetic number, because the mean of its divisors is an integer number (803629904440).

Almost surely, 212233133201013 is an apocalyptic number.

It is an amenable number.

12233133201013 is a deficient number, since it is larger than the sum of its proper divisors (624945270027).

12233133201013 is a wasteful number, since it uses less digits than its factorization.

12233133201013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279756.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 12233133201013 its reverse (31010233133221), we get a palindrome (43243366334234).

The spelling of 12233133201013 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred one thousand, thirteen".

Divisors: 1 37 43 1591 6037 223369 259591 1273639 9604867 47124643 54766477 2026359649 7688958643 284491469791 330625221649 12233133201013