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1283253060441 = 311102138086637
BaseRepresentation
bin10010101011000111110…
…101111100001101011001
311112200022010000202222110
4102223013311330031121
5132011100240413231
62421303542342533
7161466131016612
oct22530765741531
94480263022873
101283253060441
11455251997680
12188852a2aa49
1394019678751
1446177340c09
15235a8a89046
hex12ac7d7c359

1283253060441 has 16 divisors (see below), whose sum is σ = 1868378113728. Its totient is φ = 776967374400.

The previous prime is 1283253060407. The next prime is 1283253060443. The reversal of 1283253060441 is 1440603523821.

It is not a de Polignac number, because 1283253060441 - 211 = 1283253058393 is a prime.

It is a super-2 number, since 2×12832530604412 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1283253060441.

It is not an unprimeable number, because it can be changed into a prime (1283253060443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19009626 + ... + 19077011.

It is an arithmetic number, because the mean of its divisors is an integer number (116773632108).

Almost surely, 21283253060441 is an apocalyptic number.

1283253060441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1283253060441 is a deficient number, since it is larger than the sum of its proper divisors (585125053287).

1283253060441 is a wasteful number, since it uses less digits than its factorization.

1283253060441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38087672.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 1283253060441 in words is "one trillion, two hundred eighty-three billion, two hundred fifty-three million, sixty thousand, four hundred forty-one".

Divisors: 1 3 11 33 1021 3063 11231 33693 38086637 114259911 418953007 1256859021 38886456377 116659369131 427751020147 1283253060441