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2200031322101 is a prime number
BaseRepresentation
bin100000000000111100000…
…101011101111111110101
321210022122222001212022022
4200000330011131333311
5242021131004301401
64402402550242525
7314642553455114
oct40007405357765
97708588055268
102200031322101
11779034365818
122b646a056445
1312c6011cc222
14786a6ba5c7b
153c36408c71b
hex2003c15dff5

2200031322101 has 2 divisors, whose sum is σ = 2200031322102. Its totient is φ = 2200031322100.

The previous prime is 2200031322091. The next prime is 2200031322107. The reversal of 2200031322101 is 1012231300022.

2200031322101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1126465945201 + 1073565376900 = 1061351^2 + 1036130^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200031322101 is a prime.

It is a super-2 number, since 2×22000313221012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2200031322101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200031322107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100015661050 + 1100015661051.

It is an arithmetic number, because the mean of its divisors is an integer number (1100015661051).

Almost surely, 22200031322101 is an apocalyptic number.

It is an amenable number.

2200031322101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200031322101 is an equidigital number, since it uses as much as digits as its factorization.

2200031322101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2200031322101 its reverse (1012231300022), we get a palindrome (3212262622123).

The spelling of 2200031322101 in words is "two trillion, two hundred billion, thirty-one million, three hundred twenty-two thousand, one hundred one".