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2221322211257 is a prime number
BaseRepresentation
bin100000010100110001000…
…111110000111110111001
321212100121202122002120112
4200110301013300332321
5242343231441230012
64420243352034105
7316325302155212
oct40246107607671
97770552562515
102221322211257
1178706a529986
122ba610392935
13131615171ba6
14797266ba409
153cbad2e9122
hex205311f0fb9

2221322211257 has 2 divisors, whose sum is σ = 2221322211258. Its totient is φ = 2221322211256.

The previous prime is 2221322211253. The next prime is 2221322211307. The reversal of 2221322211257 is 7521122231222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2121054355456 + 100267855801 = 1456384^2 + 316651^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221322211257 - 22 = 2221322211253 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221322211253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110661105628 + 1110661105629.

It is an arithmetic number, because the mean of its divisors is an integer number (1110661105629).

Almost surely, 22221322211257 is an apocalyptic number.

It is an amenable number.

2221322211257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221322211257 is an equidigital number, since it uses as much as digits as its factorization.

2221322211257 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13440, while the sum is 32.

Adding to 2221322211257 its reverse (7521122231222), we get a palindrome (9742444442479).

The spelling of 2221322211257 in words is "two trillion, two hundred twenty-one billion, three hundred twenty-two million, two hundred eleven thousand, two hundred fifty-seven".