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13123006333 = 1710712016007
BaseRepresentation
bin11000011100011000…
…10010111101111101
31020212120020210102121
430032030102331331
5203333442200313
610010103322541
7643125466453
oct141614227575
936776223377
1013123006333
11562465a988
122662a50451
131311a0c108
148c6c289d3
1551c14d28d
hex30e312f7d

13123006333 has 16 divisors (see below), whose sum is σ = 14038821504. Its totient is φ = 12223411200.

The previous prime is 13123006331. The next prime is 13123006361. The reversal of 13123006333 is 33360032131.

It is a cyclic number.

It is not a de Polignac number, because 13123006333 - 21 = 13123006331 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13123006298 and 13123006307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123006331) 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, 2181616 + ... + 2187622.

It is an arithmetic number, because the mean of its divisors is an integer number (877426344).

Almost surely, 213123006333 is an apocalyptic number.

It is an amenable number.

13123006333 is a deficient number, since it is larger than the sum of its proper divisors (915815171).

13123006333 is a wasteful number, since it uses less digits than its factorization.

13123006333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7332.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13123006333 its reverse (33360032131), we get a palindrome (46483038464).

The spelling of 13123006333 in words is "thirteen billion, one hundred twenty-three million, six thousand, three hundred thirty-three".

Divisors: 1 17 107 1201 1819 6007 20417 102119 128507 642749 2184619 7214407 10926733 122644919 771941549 13123006333