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2200122232133 = 7313681468851
BaseRepresentation
bin100000000001000001100…
…000010000110101000101
321210022220022010120102112
4200001001200100311011
5242021322242412013
64402415554550405
7314645036261000
oct40010140206505
97708808116375
102200122232133
11779080708881
122b6494598405
1312c616cac447
14786b4cac537
153c36c048ba8
hex20041810d45

2200122232133 has 16 divisors (see below), whose sum is σ = 2565933225600. Its totient is φ = 1885677192000.

The previous prime is 2200122232109. The next prime is 2200122232153. The reversal of 2200122232133 is 3312322210022.

It is not a de Polignac number, because 2200122232133 - 226 = 2200055123269 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2200122232099 and 2200122232108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200122232153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4458158 + ... + 4927008.

It is an arithmetic number, because the mean of its divisors is an integer number (160370826600).

Almost surely, 22200122232133 is an apocalyptic number.

It is an amenable number.

2200122232133 is a deficient number, since it is larger than the sum of its proper divisors (365810993467).

2200122232133 is an equidigital number, since it uses as much as digits as its factorization.

2200122232133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482553 (or 482539 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 2200122232133 its reverse (3312322210022), we get a palindrome (5512444442155).

The spelling of 2200122232133 in words is "two trillion, two hundred billion, one hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 49 343 13681 95767 468851 670369 3281957 4692583 22973699 160815893 6414350531 44900453717 314303176019 2200122232133