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13033320223033 = 112292128077753
BaseRepresentation
bin1011110110101000111001…
…1011000001000100111001
31201010222021111101020102001
42331222032123001010321
53202014214434114113
643415231420341001
72513424553000645
oct275521633010471
951128244336361
1013033320223033
114175444540500
121565b406a4761
13737062b93616
14330b5d3d1c25
1517905ea0a7dd
hexbda8e6c1139

13033320223033 has 18 divisors (see below), whose sum is σ = 14836911256622. Its totient is φ = 11439904808640.

The previous prime is 13033320223031. The next prime is 13033320223069. The reversal of 13033320223033 is 33032202333031.

13033320223033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 891942358329 + 12141377864704 = 944427^2 + 3484448^2 .

It is not a de Polignac number, because 13033320223033 - 21 = 13033320223031 is a prime.

It is a super-2 number, since 2×130333202230332 (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 = 13033320222992 and 13033320223010.

It is not an unprimeable number, because it can be changed into a prime (13033320223031) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 63937116 + ... + 64140637.

Almost surely, 213033320223033 is an apocalyptic number.

It is an amenable number.

13033320223033 is a deficient number, since it is larger than the sum of its proper divisors (1803591033589).

13033320223033 is a wasteful number, since it uses less digits than its factorization.

13033320223033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128077833 (or 128077793 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 28.

Adding to 13033320223033 its reverse (33032202333031), we get a palindrome (46065522556064).

The spelling of 13033320223033 in words is "thirteen trillion, thirty-three billion, three hundred twenty million, two hundred twenty-three thousand, thirty-three".

Divisors: 1 11 29 121 319 841 3509 9251 101761 128077753 1408855283 3714254837 15497408113 40856803207 107713390273 449424835277 1184847293003 13033320223033