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220122000101 is a prime number
BaseRepresentation
bin1100110100000001001…
…0110010101011100101
3210001011200101012102102
43031000102302223211
512101302213000401
6245042254221445
721621554062223
oct3150022625345
9701150335372
10220122000101
1185398148753
12367b24b4885
13179b0071203
14a922683b13
155ad4c8d56b
hex33404b2ae5

220122000101 has 2 divisors, whose sum is σ = 220122000102. Its totient is φ = 220122000100.

The previous prime is 220122000073. The next prime is 220122000143. The reversal of 220122000101 is 101000221022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132040663876 + 88081336225 = 363374^2 + 296785^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220122000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220122000191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110061000050 + 110061000051.

It is an arithmetic number, because the mean of its divisors is an integer number (110061000051).

Almost surely, 2220122000101 is an apocalyptic number.

It is an amenable number.

220122000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

220122000101 is an equidigital number, since it uses as much as digits as its factorization.

220122000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220122000101 its reverse (101000221022), we get a palindrome (321122221123).

The spelling of 220122000101 in words is "two hundred twenty billion, one hundred twenty-two million, one hundred one", and thus it is an aban number.