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22211200181 is a prime number
BaseRepresentation
bin10100101011111001…
…000000010010110101
32010022221021212122202
4110223321000102311
5330442031401211
614111555034245
71414262041442
oct245371002265
963287255582
1022211200181
119468709495
12437a59b985
13212c82b201
141109c3a9c9
1589ee4b53b
hex52be404b5

22211200181 has 2 divisors, whose sum is σ = 22211200182. Its totient is φ = 22211200180.

The previous prime is 22211200163. The next prime is 22211200273. The reversal of 22211200181 is 18100211222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11779846225 + 10431353956 = 108535^2 + 102134^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22211200181 is a prime.

It is a super-2 number, since 2×222112001812 (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 (22211200481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105600090 + 11105600091.

It is an arithmetic number, because the mean of its divisors is an integer number (11105600091).

Almost surely, 222211200181 is an apocalyptic number.

It is an amenable number.

22211200181 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211200181 is an equidigital number, since it uses as much as digits as its factorization.

22211200181 is an evil number, because the sum of its binary digits is even.

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

The spelling of 22211200181 in words is "twenty-two billion, two hundred eleven million, two hundred thousand, one hundred eighty-one".