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1223313002001 = 33173346979631
BaseRepresentation
bin10001110011010011001…
…000110000111000010001
311022221120210020022121000
4101303103020300320101
5130020321112031001
62333552055052213
7154244556643626
oct21632310607021
94287523208530
101223313002001
114318933305a2
12179105071069
138b486477a4c
14432cc81234d
1521c4b726a86
hex11cd3230e11

1223313002001 has 32 divisors (see below), whose sum is σ = 1919003788800. Its totient is φ = 767536369920.

The previous prime is 1223313001951. The next prime is 1223313002039. The reversal of 1223313002001 is 1002003133221.

1223313002001 is a `hidden beast` number, since 12 + 2 + 331 + 300 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 1223313002001 - 227 = 1223178784273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1223313002071) 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 31 ways as a sum of consecutive naturals, for example, 15322456 + ... + 15402086.

It is an arithmetic number, because the mean of its divisors is an integer number (59968868400).

Almost surely, 21223313002001 is an apocalyptic number.

It is an amenable number.

1223313002001 is a deficient number, since it is larger than the sum of its proper divisors (695690786799).

1223313002001 is a wasteful number, since it uses less digits than its factorization.

1223313002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113126 (or 113120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1223313002001 its reverse (1002003133221), we get a palindrome (2225316135222).

The spelling of 1223313002001 in words is "one trillion, two hundred twenty-three billion, three hundred thirteen million, two thousand, one".

Divisors: 1 3 9 17 27 51 153 459 33469 79631 100407 238893 301221 568973 716679 903663 1353727 1706919 2150037 4061181 5120757 12183543 15362271 36550629 2665169939 7995509817 23986529451 45307888963 71959588353 135923666889 407771000667 1223313002001