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1312011 = 3348593
BaseRepresentation
bin101000000010100001011
32110122202000
411000110023
5313441021
644042043
714103051
oct5002413
92418660
101312011
11816808
12533323
1336c24c
142621d1
151adb26
hex14050b

1312011 has 8 divisors (see below), whose sum is σ = 1943760. Its totient is φ = 874656.

The previous prime is 1312001. The next prime is 1312019. The reversal of 1312011 is 1102131.

It is not a de Polignac number, because 1312011 - 210 = 1310987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1312011 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 1311984 and 1312002.

It is not an unprimeable number, because it can be changed into a prime (1312019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24270 + ... + 24323.

It is an arithmetic number, because the mean of its divisors is an integer number (242970).

21312011 is an apocalyptic number.

1312011 is a deficient number, since it is larger than the sum of its proper divisors (631749).

1312011 is an equidigital number, since it uses as much as digits as its factorization.

1312011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48602 (or 48596 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1312011 is about 1145.4304867603. The cubic root of 1312011 is about 109.4743794440.

Adding to 1312011 its reverse (1102131), we get a palindrome (2414142).

It can be divided in two parts, 13120 and 11, that added together give a palindrome (13131).

The spelling of 1312011 in words is "one million, three hundred twelve thousand, eleven".

Divisors: 1 3 9 27 48593 145779 437337 1312011