Search a number
-
+
1311212331 = 3211131018813
BaseRepresentation
bin100111000100111…
…1000001100101011
310101101021111011200
41032021320030223
510141132243311
6334035455243
744331056322
oct11611701453
93341244150
101311212331
11613166260
12307157523
1317b8625b0
14c61dd0b9
157a1a7556
hex4e27832b

1311212331 has 24 divisors (see below), whose sum is σ = 2225089776. Its totient is φ = 733544640.

The previous prime is 1311212323. The next prime is 1311212333. The reversal of 1311212331 is 1332121131.

1311212331 is a `hidden beast` number, since 1 + 311 + 21 + 2 + 331 = 666.

It is not a de Polignac number, because 1311212331 - 23 = 1311212323 is a prime.

It is a super-2 number, since 2×13112123312 = 3438555553932907122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1311212333) 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, 508120 + ... + 510693.

It is an arithmetic number, because the mean of its divisors is an integer number (92712074).

Almost surely, 21311212331 is an apocalyptic number.

1311212331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311212331 is a deficient number, since it is larger than the sum of its proper divisors (913877445).

1311212331 is a wasteful number, since it uses less digits than its factorization.

1311212331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018843 (or 1018840 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1311212331 is about 36210.6659839335. The cubic root of 1311212331 is about 1094.5216125108.

Adding to 1311212331 its reverse (1332121131), we get a palindrome (2643333462).

The spelling of 1311212331 in words is "one billion, three hundred eleven million, two hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 1018813 3056439 9169317 11206943 13244569 33620829 39733707 100862487 119201121 145690259 437070777 1311212331