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211222221201149 is a prime number
BaseRepresentation
bin110000000001101100000001…
…011101101001111011111101
31000200212122110202200101210012
4300001230001131221323331
5210141131102111414044
62025122052052353005
762330205355532144
oct6001540135517375
91020778422611705
10211222221201149
1161335928352804
121b834346615765
1390b2229622422
143a232d255c75b
15196459494259e
hexc01b01769efd

211222221201149 has 2 divisors, whose sum is σ = 211222221201150. Its totient is φ = 211222221201148.

The previous prime is 211222221201139. The next prime is 211222221201179. The reversal of 211222221201149 is 941102122222112.

It is a happy number.

211222221201149 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., 116397277605049 + 94824943596100 = 10788757^2 + 9737810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211222221201149 is a prime.

It is a super-2 number, since 2×2112222212011492 (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 (211222221201139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611110600574 + 105611110600575.

It is an arithmetic number, because the mean of its divisors is an integer number (105611110600575).

Almost surely, 2211222221201149 is an apocalyptic number.

It is an amenable number.

211222221201149 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222221201149 is an equidigital number, since it uses as much as digits as its factorization.

211222221201149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 211222221201149 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, one hundred forty-nine".