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1312122061413 = 32507728716041
BaseRepresentation
bin10011000110000000100…
…100011100001001100101
311122102211001010222100200
4103012000210130021211
5132444211221431123
62442440333301113
7163540415333322
oct23060044341145
94572731128320
101312122061413
11466516773369
1219236b034799
139696a628247
144771549bb49
15241e8257143
hex1318091c265

1312122061413 has 12 divisors (see below), whose sum is σ = 1895660796588. Its totient is φ = 874575714240.

The previous prime is 1312122061403. The next prime is 1312122061423. The reversal of 1312122061413 is 3141602212131.

1312122061413 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 12 + 20 + 614 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (1312122061403) and next prime (1312122061423).

It can be written as a sum of positive squares in 2 ways, for example, as 945373123809 + 366748937604 = 972303^2 + 605598^2 .

It is not a de Polignac number, because 1312122061413 - 28 = 1312122061157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312122061403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14312328 + ... + 14403713.

It is an arithmetic number, because the mean of its divisors is an integer number (157971733049).

Almost surely, 21312122061413 is an apocalyptic number.

It is an amenable number.

1312122061413 is a deficient number, since it is larger than the sum of its proper divisors (583538735175).

1312122061413 is a wasteful number, since it uses less digits than its factorization.

1312122061413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721124 (or 28721121 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 1312122061413 its reverse (3141602212131), we get a palindrome (4453724273544).

The spelling of 1312122061413 in words is "one trillion, three hundred twelve billion, one hundred twenty-two million, sixty-one thousand, four hundred thirteen".

Divisors: 1 3 9 5077 15231 45693 28716041 86148123 258444369 145791340157 437374020471 1312122061413