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222213301022101 is a prime number
BaseRepresentation
bin110010100001101000010000…
…110111110010110110010101
31002010210101101000110000211211
4302201220100313302312111
5213111220320030201401
62104335214201501421
764543244515533544
oct6241502067626625
91063711330400754
10222213301022101
116489314a37a114
1220b0a514aa1871
1396cb816992c0c
143cc327713a15b
151aa5427e3a951
hexca1a10df2d95

222213301022101 has 2 divisors, whose sum is σ = 222213301022102. Its totient is φ = 222213301022100.

The previous prime is 222213301022023. The next prime is 222213301022107. The reversal of 222213301022101 is 101220103312222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127933065562500 + 94280235459601 = 11310750^2 + 9709801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222213301022101 is a prime.

It is a super-2 number, since 2×2222133010221012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222213301022107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111106650511050 + 111106650511051.

It is an arithmetic number, because the mean of its divisors is an integer number (111106650511051).

Almost surely, 2222213301022101 is an apocalyptic number.

It is an amenable number.

222213301022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222213301022101 is an equidigital number, since it uses as much as digits as its factorization.

222213301022101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 222213301022101 its reverse (101220103312222), we get a palindrome (323433404334323).

The spelling of 222213301022101 in words is "two hundred twenty-two trillion, two hundred thirteen billion, three hundred one million, twenty-two thousand, one hundred one".