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1312411331 = 711111715259
BaseRepresentation
bin100111000111001…
…1100111011000011
310101110112101220002
41032032130323003
510141434130311
6334121310215
744344212050
oct11616347303
93343471802
101312411331
11613905070
1230763536b
1317bb9226a
14c6432027
157a34293b
hex4e39cec3

1312411331 has 16 divisors (see below), whose sum is σ = 1637825280. Its totient is φ = 1021675680.

The previous prime is 1312411307. The next prime is 1312411333. The reversal of 1312411331 is 1331142131.

It is a cyclic number.

It is not a de Polignac number, because 1312411331 - 214 = 1312394947 is a prime.

It is a super-2 number, since 2×13124113312 = 3444847003474383122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312411333) 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 15 ways as a sum of consecutive naturals, for example, 78380 + ... + 93638.

It is an arithmetic number, because the mean of its divisors is an integer number (102364080).

Almost surely, 21312411331 is an apocalyptic number.

1312411331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312411331 is a deficient number, since it is larger than the sum of its proper divisors (325413949).

1312411331 is a wasteful number, since it uses less digits than its factorization.

1312411331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16394.

The product of its digits is 216, while the sum is 20.

The square root of 1312411331 is about 36227.2180963430. The cubic root of 1312411331 is about 1094.8551286972.

Adding to 1312411331 its reverse (1331142131), we get a palindrome (2643553462).

The spelling of 1312411331 in words is "one billion, three hundred twelve million, four hundred eleven thousand, three hundred thirty-one".

Divisors: 1 7 11 77 1117 7819 12287 15259 86009 106813 167849 1174943 17044303 119310121 187487333 1312411331