Search a number
-
+
1311133023 = 32977149111
BaseRepresentation
bin100111000100110…
…0100110101011111
310101101010110101100
41032021210311133
510141122224043
6334034044143
744330306154
oct11611446537
93341113340
101311133023
11613111712
12307119653
1317b835475
14c61bc22b
157a18dcd3
hex4e264d5f

1311133023 has 12 divisors (see below), whose sum is σ = 1895809968. Its totient is φ = 873188160.

The previous prime is 1311133013. The next prime is 1311133051. The reversal of 1311133023 is 3203311131.

It is a happy number.

1311133023 is a `hidden beast` number, since 1 + 311 + 1 + 330 + 23 = 666.

It is not a de Polignac number, because 1311133023 - 216 = 1311067487 is a prime.

It is a super-2 number, since 2×13111330232 = 3438139608002237058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1311132987 and 1311133005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311133013) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 65763 + ... + 83348.

It is an arithmetic number, because the mean of its divisors is an integer number (157984164).

Almost surely, 21311133023 is an apocalyptic number.

1311133023 is a deficient number, since it is larger than the sum of its proper divisors (584676945).

1311133023 is a wasteful number, since it uses less digits than its factorization.

1311133023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150094 (or 150091 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1311133023 is about 36209.5708756677. The cubic root of 1311133023 is about 1094.4995448745.

Adding to 1311133023 its reverse (3203311131), we get a palindrome (4514444154).

The spelling of 1311133023 in words is "one billion, three hundred eleven million, one hundred thirty-three thousand, twenty-three".

Divisors: 1 3 9 977 2931 8793 149111 447333 1341999 145681447 437044341 1311133023