Search a number
-
+
1311232332 = 2231929613251
BaseRepresentation
bin100111000100111…
…1101000101001100
310101101022111121110
41032021331011030
510141133413312
6334040132020
744331201534
oct11611750514
93341274543
101311232332
1161317a293
12307167010
1317b86b727
14c62064c4
157a1ad43c
hex4e27d14c

1311232332 has 96 divisors (see below), whose sum is σ = 3387283200. Its totient is φ = 393120000.

The previous prime is 1311232319. The next prime is 1311232339. The reversal of 1311232332 is 2332321131.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1311232299 and 1311232308.

It is not an unprimeable number, because it can be changed into a prime (1311232339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401707 + ... + 404957.

It is an arithmetic number, because the mean of its divisors is an integer number (35284200).

Almost surely, 21311232332 is an apocalyptic number.

1311232332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311232332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693641600).

1311232332 is an abundant number, since it is smaller than the sum of its proper divisors (2076050868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311232332 is a wasteful number, since it uses less digits than its factorization.

1311232332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3365 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 1311232332 is about 36210.9421584139. The cubic root of 1311232332 is about 1094.5271776952.

Adding to 1311232332 its reverse (2332321131), we get a palindrome (3643553463).

The spelling of 1311232332 in words is "one billion, three hundred eleven million, two hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 61 76 87 114 116 122 174 183 228 244 348 366 551 732 1102 1159 1653 1769 2204 2318 3251 3306 3477 3538 4636 5307 6502 6612 6954 7076 9753 10614 13004 13908 19506 21228 33611 39012 61769 67222 94279 100833 123538 134444 185307 188558 198311 201666 247076 282837 370614 377116 396622 403332 565674 594933 741228 793244 1131348 1189866 1791301 2379732 3582602 3767909 5373903 5751019 7165204 7535818 10747806 11303727 11502038 15071636 17253057 21495612 22607454 23004076 34506114 45214908 69012228 109269361 218538722 327808083 437077444 655616166 1311232332