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1000223022301 = 73137100012301
BaseRepresentation
bin11101000111000011111…
…00000001110011011101
310112121202021002010120021
432203201330001303131
5112341424043203201
62043255054352141
7132156313260556
oct16434174016335
93477667063507
101000223022301
11356212902948
12141a247bb651
1373422553ab9
14365a7cdd32d
151b04111bea1
hexe8e1f01cdd

1000223022301 has 8 divisors (see below), whose sum is σ = 1021325628024. Its totient is φ = 979320441600.

The previous prime is 1000223022289. The next prime is 1000223022319. The reversal of 1000223022301 is 1032203220001.

It can be written as a sum of positive squares in 4 ways, for example, as 116162362276 + 884060660025 = 340826^2 + 940245^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1000223022301 - 217 = 1000222891229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000223022391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49996150 + ... + 50016151.

It is an arithmetic number, because the mean of its divisors is an integer number (127665703503).

Almost surely, 21000223022301 is an apocalyptic number.

It is an amenable number.

1000223022301 is a deficient number, since it is larger than the sum of its proper divisors (21102605723).

1000223022301 is a wasteful number, since it uses less digits than its factorization.

1000223022301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100012511.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1000223022301 its reverse (1032203220001), we get a palindrome (2032426242302).

The spelling of 1000223022301 in words is "one trillion, two hundred twenty-three million, twenty-two thousand, three hundred one".

Divisors: 1 73 137 10001 100012301 7300897973 13701685237 1000223022301