Search a number
-
+
13533311431 = 1719891672819
BaseRepresentation
bin11001001101010010…
…11111000111000111
31021221011022110012201
430212221133013013
5210204011431211
610114521455331
7656240151313
oct144651370707
937834273181
1013533311431
115815224202
122758341547
131378a1b0b3
14925512b43
1554319a0c1
hex326a5f1c7

13533311431 has 32 divisors (see below), whose sum is σ = 15349824000. Its totient is φ = 11855619072.

The previous prime is 13533311413. The next prime is 13533311453. The reversal of 13533311431 is 13411333531.

It is a cyclic number.

It is not a de Polignac number, because 13533311431 - 25 = 13533311399 is a prime.

It is a super-2 number, since 2×135333114312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13533311431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13533311411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4799340 + ... + 4802158.

It is an arithmetic number, because the mean of its divisors is an integer number (479682000).

Almost surely, 213533311431 is an apocalyptic number.

13533311431 is a deficient number, since it is larger than the sum of its proper divisors (1816512569).

13533311431 is a wasteful number, since it uses less digits than its factorization.

13533311431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111.

The product of its digits is 4860, while the sum is 28.

Adding to 13533311431 its reverse (13411333531), we get a palindrome (26944644962).

The spelling of 13533311431 in words is "thirteen billion, five hundred thirty-three million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 17 19 89 167 323 1513 1691 2819 2839 3173 14863 28747 47923 53561 53941 250891 252671 282397 470773 910537 4265147 4766929 4800749 8003141 8944687 41898797 81037793 152059679 712279549 796077143 13533311431