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13133123124 = 22311432313799
BaseRepresentation
bin11000011101100101…
…11000111000110100
31020220021021210001120
430032302320320310
5203344034414444
610011104223540
7643310463462
oct141662707064
936807253046
1013133123124
11562a33a870
12266630abb0
131313b41b94
148c82dd832
1551ce9ab19
hex30ecb8e34

13133123124 has 48 divisors (see below), whose sum is σ = 34207219200. Its totient is φ = 3887180640.

The previous prime is 13133123093. The next prime is 13133123131. The reversal of 13133123124 is 42132133131.

13133123124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 13133123094 and 13133123103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1151224 + ... + 1162575.

It is an arithmetic number, because the mean of its divisors is an integer number (712650400).

Almost surely, 213133123124 is an apocalyptic number.

It is an amenable number.

13133123124 is an abundant number, since it is smaller than the sum of its proper divisors (21074096076).

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

13133123124 is a wasteful number, since it uses less digits than its factorization.

13133123124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313860 (or 2313858 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 13133123124 its reverse (42132133131), we get a palindrome (55265256255).

The spelling of 13133123124 in words is "thirteen billion, one hundred thirty-three million, one hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1892 2838 5676 2313799 4627598 6941397 9255196 13882794 25451789 27765588 50903578 76355367 99493357 101807156 152710734 198986714 298480071 305421468 397973428 596960142 1094426927 1193920284 2188853854 3283280781 4377707708 6566561562 13133123124