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2220312321301 is a prime number
BaseRepresentation
bin100000010011110100111…
…011010101110100010101
321212021000101100100222211
4200103310323111310111
5242334144423240201
64415555234353421
7316261260223504
oct40236473256425
97767011310884
102220312321301
117866a1470688
122ba38a12b871
131314b3b81279
147966c51683b
153cb4e812651
hex204f4ed5d15

2220312321301 has 2 divisors, whose sum is σ = 2220312321302. Its totient is φ = 2220312321300.

The previous prime is 2220312321299. The next prime is 2220312321307. The reversal of 2220312321301 is 1031232130222.

2220312321301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2135426916100 + 84885405201 = 1461310^2 + 291351^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220312321301 - 21 = 2220312321299 is a prime.

Together with 2220312321299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220312321307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110156160650 + 1110156160651.

It is an arithmetic number, because the mean of its divisors is an integer number (1110156160651).

Almost surely, 22220312321301 is an apocalyptic number.

It is an amenable number.

2220312321301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220312321301 is an equidigital number, since it uses as much as digits as its factorization.

2220312321301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2220312321301 its reverse (1031232130222), we get a palindrome (3251544451523).

The spelling of 2220312321301 in words is "two trillion, two hundred twenty billion, three hundred twelve million, three hundred twenty-one thousand, three hundred one".