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13531100033 = 112111827273
BaseRepresentation
bin11001001101000010…
…00011001110000001
31021221000011002202002
430212201003032001
5210202430200113
610114402233345
7656212311143
oct144641031601
937830132662
1013531100033
115813a53800
122757655855
131378425689
149250d8c93
15542daec58
hex326843381

13531100033 has 6 divisors (see below), whose sum is σ = 14873027442. Its totient is φ = 12300999920.

The previous prime is 13531100029. The next prime is 13531100081. The reversal of 13531100033 is 33000113531.

It can be written as a sum of positive squares in only one way, i.e., 8239555984 + 5291544049 = 90772^2 + 72743^2 .

It is not a de Polignac number, because 13531100033 - 22 = 13531100029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13531099978 and 13531100014.

It is not an unprimeable number, because it can be changed into a prime (13531106033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55913516 + ... + 55913757.

It is an arithmetic number, because the mean of its divisors is an integer number (2478837907).

Almost surely, 213531100033 is an apocalyptic number.

It is an amenable number.

13531100033 is a deficient number, since it is larger than the sum of its proper divisors (1341927409).

13531100033 is a wasteful number, since it uses less digits than its factorization.

13531100033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111827295 (or 111827284 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

Adding to 13531100033 its reverse (33000113531), we get a palindrome (46531213564).

The spelling of 13531100033 in words is "thirteen billion, five hundred thirty-one million, one hundred thousand, thirty-three".

Divisors: 1 11 121 111827273 1230100003 13531100033