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13133324457 = 32111917214057
BaseRepresentation
bin11000011101100111…
…01010000010101001
31020220021200000020100
430032303222002221
5203344112340312
610011112420013
7643312262451
oct141663520251
936807600210
1013133324457
11562a468060
1226663a7609
131313bb2706
148c8352d61
1551ceda5dc
hex30ecea0a9

13133324457 has 48 divisors (see below), whose sum is σ = 21802173120. Its totient is φ = 7534425600.

The previous prime is 13133324443. The next prime is 13133324521. The reversal of 13133324457 is 75442333131.

13133324457 is a `hidden beast` number, since 1 + 31 + 333 + 244 + 57 = 666.

It is not a de Polignac number, because 13133324457 - 24 = 13133324441 is a prime.

It is a super-3 number, since 3×131333244573 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13135324457) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3235173 + ... + 3239229.

It is an arithmetic number, because the mean of its divisors is an integer number (454211940).

Almost surely, 213133324457 is an apocalyptic number.

It is an amenable number.

13133324457 is a deficient number, since it is larger than the sum of its proper divisors (8668848663).

13133324457 is a wasteful number, since it uses less digits than its factorization.

13133324457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5814 (or 5811 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

Adding to 13133324457 its reverse (75442333131), we get a palindrome (88575657588).

The spelling of 13133324457 in words is "thirteen billion, one hundred thirty-three million, three hundred twenty-four thousand, four hundred fifty-seven".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1721 1881 4057 5163 12171 15489 18931 32699 36513 44627 56793 77083 98097 133881 170379 231249 294291 359689 401643 693747 847913 1079067 2543739 3237201 6982097 7631217 20946291 62838873 76803067 132659843 230409201 397979529 691227603 1193938587 1459258273 4377774819 13133324457