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1321030001 = 23312591013
BaseRepresentation
bin100111010111101…
…0101000101110001
310102001202021111002
41032233111011301
510201140430001
6335030131345
744510366264
oct11657250561
93361667432
101321030001
11618761435
1230a4b0b55
131808bc175
14c7636cdb
157ae9646b
hex4ebd5171

1321030001 has 24 divisors (see below), whose sum is σ = 1449938880. Its totient is φ = 1200920160.

The previous prime is 1321029971. The next prime is 1321030027. The reversal of 1321030001 is 1000301231.

It is not a de Polignac number, because 1321030001 - 210 = 1321028977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1321030201) 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 23 ways as a sum of consecutive naturals, for example, 1303571 + ... + 1304583.

It is an arithmetic number, because the mean of its divisors is an integer number (60414120).

Almost surely, 21321030001 is an apocalyptic number.

It is an amenable number.

1321030001 is a deficient number, since it is larger than the sum of its proper divisors (128908879).

1321030001 is a wasteful number, since it uses less digits than its factorization.

1321030001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1321030001 is about 36345.9764072999. The cubic root of 1321030001 is about 1097.2465573282.

Adding to 1321030001 its reverse (1000301231), we get a palindrome (2321331232).

The spelling of 1321030001 in words is "one billion, three hundred twenty-one million, thirty thousand, one".

Divisors: 1 23 31 59 713 961 1013 1357 1829 22103 23299 31403 42067 56699 59767 722269 973493 1304077 1374641 1852777 22390339 42613871 57436087 1321030001