Search a number
-
+
13044331311 = 3112311159187
BaseRepresentation
bin11000010011000000…
…01011001100101111
31020200002012200120220
430021200023030233
5203203322100221
65554213142423
7641151662304
oct141140131457
936602180526
1013044331311
115594204200
12264062aa13
1312cb623b4b
148ba5c90ab
155152ac0c6
hex30980b32f

13044331311 has 24 divisors (see below), whose sum is σ = 19734016512. Its totient is φ = 7650627600.

The previous prime is 13044331303. The next prime is 13044331331. The reversal of 13044331311 is 11313344031.

It is not a de Polignac number, because 13044331311 - 23 = 13044331303 is a prime.

It is a super-2 number, since 2×130443313112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044331301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568341 + ... + 590846.

It is an arithmetic number, because the mean of its divisors is an integer number (822250688).

Almost surely, 213044331311 is an apocalyptic number.

13044331311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13044331311 is a deficient number, since it is larger than the sum of its proper divisors (6689685201).

13044331311 is a wasteful number, since it uses less digits than its factorization.

13044331311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159243 (or 1159232 counting only the distinct ones).

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

Adding to 13044331311 its reverse (11313344031), we get a palindrome (24357675342).

The spelling of 13044331311 in words is "thirteen billion, forty-four million, three hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 11253 1159187 3477561 12751057 35934797 38253171 107804391 140261627 395282767 420784881 1185848301 4348110437 13044331311