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1081973313 = 321741173997
BaseRepresentation
bin100000001111101…
…1001101001000001
32210101220221100200
41000133121221001
54203441121223
6255210235413
735545423101
oct10037315101
92711827320
101081973313
11505822623
12262425b69
1314320b7c5
14a39a9201
1564ec4a43
hex407d9a41

1081973313 has 48 divisors (see below), whose sum is σ = 1706651856. Its totient is φ = 657838080.

The previous prime is 1081973311. The next prime is 1081973327. The reversal of 1081973313 is 3133791801.

It can be written as a sum of positive squares in 8 ways, for example, as 98962704 + 983010609 = 9948^2 + 31353^2 .

It is not a de Polignac number, because 1081973313 - 21 = 1081973311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1081973311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084731 + ... + 1085727.

It is an arithmetic number, because the mean of its divisors is an integer number (35555247).

Almost surely, 21081973313 is an apocalyptic number.

It is an amenable number.

1081973313 is a deficient number, since it is larger than the sum of its proper divisors (624678543).

1081973313 is a wasteful number, since it uses less digits than its factorization.

1081973313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1081973313 is about 32893.3627499531. The cubic root of 1081973313 is about 1026.6100614745.

The spelling of 1081973313 in words is "one billion, eighty-one million, nine hundred seventy-three thousand, three hundred thirteen".

Divisors: 1 3 9 17 41 51 123 153 173 369 519 697 997 1557 2091 2941 2991 6273 7093 8823 8973 16949 21279 26469 40877 50847 63837 120581 122631 152541 172481 361743 367893 517443 694909 1085229 1552329 2084727 2932177 6254181 7071721 8796531 21215163 26389593 63645489 120219257 360657771 1081973313