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10321010001 = 322219351673
BaseRepresentation
bin10011001110010111…
…00001110101010001
3222122021210122001200
421213023201311101
5132114134310001
64424051021413
7513523065111
oct114713416521
928567718050
1010321010001
114416a39635
12200059a869
13c86363313
146dca45041
1540616c086
hex2672e1d51

10321010001 has 12 divisors (see below), whose sum is σ = 14909085828. Its totient is φ = 6880230144.

The previous prime is 10321009987. The next prime is 10321010003. The reversal of 10321010001 is 10001012301.

10321010001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10035230976 + 285779025 = 100176^2 + 16905^2 .

It is not a de Polignac number, because 10321010001 - 27 = 10321009873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10321010003) 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 11 ways as a sum of consecutive naturals, for example, 173901 + ... + 225573.

It is an arithmetic number, because the mean of its divisors is an integer number (1242423819).

Almost surely, 210321010001 is an apocalyptic number.

It is an amenable number.

10321010001 is a deficient number, since it is larger than the sum of its proper divisors (4588075827).

10321010001 is a wasteful number, since it uses less digits than its factorization.

10321010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73872 (or 73869 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10321010001 its reverse (10001012301), we get a palindrome (20322022302).

The spelling of 10321010001 in words is "ten billion, three hundred twenty-one million, ten thousand, one".

Divisors: 1 3 9 22193 51673 66579 155019 199737 465057 1146778889 3440336667 10321010001