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13331020302 = 2323736754541
BaseRepresentation
bin11000110101001011…
…10011101000001110
31021102001122222221200
430122211303220032
5204300220122202
610042454010330
7651232542255
oct143245635016
937361588850
1013331020302
115721016956
1227006469a6
131345b40cc2
149066d579c
1553053be1c
hex31a973a0e

13331020302 has 48 divisors (see below), whose sum is σ = 29745897792. Its totient is φ = 4311714240.

The previous prime is 13331020267. The next prime is 13331020309. The reversal of 13331020302 is 20302013331.

13331020302 is a `hidden beast` number, since 1 + 33 + 310 + 20 + 302 = 666.

13331020302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133310203022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331020309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217152 + ... + 271692.

It is an arithmetic number, because the mean of its divisors is an integer number (619706204).

Almost surely, 213331020302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331020302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14872948896).

13331020302 is an abundant number, since it is smaller than the sum of its proper divisors (16414877490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13331020302 is a wasteful number, since it uses less digits than its factorization.

13331020302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54953 (or 54950 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13331020302 its reverse (20302013331), we get a palindrome (33633033633).

The spelling of 13331020302 in words is "thirteen billion, three hundred thirty-one million, twenty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 367 666 734 1101 2202 3303 6606 13579 27158 40737 54541 81474 109082 122211 163623 244422 327246 490869 981738 2018017 4036034 6054051 12108102 18162153 20016547 36324306 40033094 60049641 120099282 180148923 360297846 740612239 1481224478 2221836717 4443673434 6665510151 13331020302