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22101220181 is a prime number
BaseRepresentation
bin10100100101010101…
…011101101101010101
32010001021100022110102
4110211111131231111
5330230403021211
614053025503445
71411455162155
oct244525355525
963037308412
1022101220181
119411620927
1243497a1b85
132112b01ca1
1410d93ac765
15895474a3b
hex52555db55

22101220181 has 2 divisors, whose sum is σ = 22101220182. Its totient is φ = 22101220180.

The previous prime is 22101220157. The next prime is 22101220231. The reversal of 22101220181 is 18102210122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16418321956 + 5682898225 = 128134^2 + 75385^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101220181 - 214 = 22101203797 is a prime.

It is a super-2 number, since 2×221012201812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22101220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11050610090 + 11050610091.

It is an arithmetic number, because the mean of its divisors is an integer number (11050610091).

Almost surely, 222101220181 is an apocalyptic number.

It is an amenable number.

22101220181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101220181 is an equidigital number, since it uses as much as digits as its factorization.

22101220181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The spelling of 22101220181 in words is "twenty-two billion, one hundred one million, two hundred twenty thousand, one hundred eighty-one".