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1321105005 = 335112930677
BaseRepresentation
bin100111010111110…
…0111011001101101
310102001220002101000
41032233213121231
510201200330010
6335031510513
744511131043
oct11657473155
93361802330
101321105005
11618802820
1230a528439
1318091734c
14c7656393
157aead7c0
hex4ebe766d

1321105005 has 64 divisors (see below), whose sum is σ = 2650579200. Its totient is φ = 618428160.

The previous prime is 1321104991. The next prime is 1321105031. The reversal of 1321105005 is 5005011231.

It is not a de Polignac number, because 1321105005 - 25 = 1321104973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27727 + ... + 58403.

It is an arithmetic number, because the mean of its divisors is an integer number (41415300).

Almost surely, 21321105005 is an apocalyptic number.

1321105005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1321105005 is an abundant number, since it is smaller than the sum of its proper divisors (1329474195).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1321105005 is a wasteful number, since it uses less digits than its factorization.

1321105005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30731 (or 30725 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1321105005 is about 36347.0081987500. The cubic root of 1321105005 is about 1097.2673230245.

Adding to 1321105005 its reverse (5005011231), we get a palindrome (6326116236).

The spelling of 1321105005 in words is "one billion, three hundred twenty-one million, one hundred five thousand, five".

Divisors: 1 3 5 9 11 15 27 29 33 45 55 87 99 135 145 165 261 297 319 435 495 783 957 1305 1485 1595 2871 3915 4785 8613 14355 30677 43065 92031 153385 276093 337447 460155 828279 889633 1012341 1380465 1687235 2668899 3037023 4141395 4448165 5061705 8006697 9111069 9785963 13344495 15185115 24020091 29357889 40033485 45555345 48929815 88073667 120100455 146789445 264221001 440368335 1321105005