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22211012101193 is a prime number
BaseRepresentation
bin1010000110011011001110…
…11111001000010001001001
32220122100111121210202001222
411003031213133020101021
510402401123044214233
6115123333104451425
74451456404550156
oct503154737102111
986570447722058
1022211012101193
1170937013226a3
1225a8787019b75
13c5164943a986
1456b03952d22d
15287b5ce67898
hex1433677c8449

22211012101193 has 2 divisors, whose sum is σ = 22211012101194. Its totient is φ = 22211012101192.

The previous prime is 22211012101099. The next prime is 22211012101247. The reversal of 22211012101193 is 39110121011222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21603792448144 + 607219653049 = 4647988^2 + 779243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22211012101193 is a prime.

It is not a weakly prime, because it can be changed into another prime (22211012101793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105506050596 + 11105506050597.

It is an arithmetic number, because the mean of its divisors is an integer number (11105506050597).

Almost surely, 222211012101193 is an apocalyptic number.

It is an amenable number.

22211012101193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211012101193 is an equidigital number, since it uses as much as digits as its factorization.

22211012101193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 26.

The spelling of 22211012101193 in words is "twenty-two trillion, two hundred eleven billion, twelve million, one hundred one thousand, one hundred ninety-three".