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1311221645 = 51717778681
BaseRepresentation
bin100111000100111…
…1010011110001101
310101101021221221122
41032021322132031
510141133043040
6334040010325
744331125426
oct11611723615
93341257848
101311221645
11613172258
123071609a5
1317b8668c6
14c620264d
157a1aa1b5
hex4e27a78d

1311221645 has 16 divisors (see below), whose sum is σ = 1667152368. Its totient is φ = 986603520.

The previous prime is 1311221629. The next prime is 1311221683. The reversal of 1311221645 is 5461221131.

It can be written as a sum of positive squares in 8 ways, for example, as 84400969 + 1226820676 = 9187^2 + 35026^2 .

It is not a de Polignac number, because 1311221645 - 24 = 1311221629 is a prime.

It is a super-3 number, since 3×13112216453 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 146705 + ... + 155385.

It is an arithmetic number, because the mean of its divisors is an integer number (104197023).

Almost surely, 21311221645 is an apocalyptic number.

It is an amenable number.

1311221645 is a deficient number, since it is larger than the sum of its proper divisors (355930723).

1311221645 is a wasteful number, since it uses less digits than its factorization.

1311221645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10480.

The product of its digits is 1440, while the sum is 26.

The square root of 1311221645 is about 36210.7945922207. The cubic root of 1311221645 is about 1094.5242040946.

Adding to 1311221645 its reverse (5461221131), we get a palindrome (6772442776).

The spelling of 1311221645 in words is "one billion, three hundred eleven million, two hundred twenty-one thousand, six hundred forty-five".

Divisors: 1 5 17 85 1777 8681 8885 30209 43405 147577 151045 737885 15426137 77130685 262244329 1311221645