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13123333332 = 2232615976017
BaseRepresentation
bin11000011100011011…
…00010110011010100
31020212120212101222200
430032031202303110
5203334033131312
610010114324500
7643131331014
oct141615426324
936776771880
1013123333332
11562486362a
122662b89730
131311ac4bc5
148c6cb1c44
1551c1b50dc
hex30e362cd4

13123333332 has 36 divisors (see below), whose sum is σ = 33716693556. Its totient is φ = 4302731520.

The previous prime is 13123333319. The next prime is 13123333337. The reversal of 13123333332 is 23333332131.

It can be written as a sum of positive squares in 2 ways, for example, as 364275396 + 12759057936 = 19086^2 + 112956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13123333296 and 13123333305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123333337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2985813 + ... + 2990204.

It is an arithmetic number, because the mean of its divisors is an integer number (936574821).

Almost surely, 213123333332 is an apocalyptic number.

13123333332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13123333332 is an abundant number, since it is smaller than the sum of its proper divisors (20593360224).

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

13123333332 is a wasteful number, since it uses less digits than its factorization.

13123333332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976088 (or 5976083 counting only the distinct ones).

The product of its digits is 8748, while the sum is 27.

Adding to 13123333332 its reverse (23333332131), we get a palindrome (36456665463).

The spelling of 13123333332 in words is "thirteen billion, one hundred twenty-three million, three hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 5976017 11952034 17928051 23904068 35856102 53784153 71712204 107568306 215136612 364537037 729074074 1093611111 1458148148 2187222222 3280833333 4374444444 6561666666 13123333332