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1322104113 = 341119292693
BaseRepresentation
bin100111011001101…
…1011010100110001
310102010202211220000
41032303123110301
510201424312423
6335105140213
744522461641
oct11663332461
93363684800
101322104113
11619325430
1230a92a669
13180ba7035
14c7836521
157b109843
hex4ecdb531

1322104113 has 80 divisors (see below), whose sum is σ = 2347012800. Its totient is φ = 732654720.

The previous prime is 1322104111. The next prime is 1322104117. The reversal of 1322104113 is 3114012231.

It is not a de Polignac number, because 1322104113 - 21 = 1322104111 is a prime.

It is a super-2 number, since 2×13221041132 = 3495918571223033538, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322104111) 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 79 ways as a sum of consecutive naturals, for example, 489595 + ... + 492287.

It is an arithmetic number, because the mean of its divisors is an integer number (29337660).

Almost surely, 21322104113 is an apocalyptic number.

It is an amenable number.

1322104113 is a deficient number, since it is larger than the sum of its proper divisors (1024908687).

1322104113 is a wasteful number, since it uses less digits than its factorization.

1322104113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1322104113 is about 36360.7496209855. The cubic root of 1322104113 is about 1097.5438623130.

Adding to 1322104113 its reverse (3114012231), we get a palindrome (4436116344).

The spelling of 1322104113 in words is "one billion, three hundred twenty-two million, one hundred four thousand, one hundred thirteen".

Divisors: 1 3 9 11 19 27 29 33 57 81 87 99 171 209 261 297 319 513 551 627 783 891 957 1539 1653 1881 2349 2693 2871 4959 5643 6061 8079 8613 14877 16929 18183 24237 25839 29623 44631 51167 54549 72711 78097 88869 153501 163647 218133 234291 266607 460503 490941 562837 702873 799821 859067 1381509 1483843 1688511 2108619 2399463 2577201 4144527 4451529 5065533 6325857 7731603 13354587 15196599 16322273 23194809 40063761 45589797 48966819 69584427 120191283 146900457 440701371 1322104113