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110222121829 is a prime number
BaseRepresentation
bin110011010100111000…
…0000001101101100101
3101112111120100221020111
41212221300001231211
53301213330344304
6122345122333021
710651256401651
oct1465160015545
9345446327214
10110222121829
1142821572576
12194411ba171
13a51752b341
1454988c3a61
152d01871704
hex19a9c01b65

110222121829 has 2 divisors, whose sum is σ = 110222121830. Its totient is φ = 110222121828.

The previous prime is 110222121811. The next prime is 110222122037. The reversal of 110222121829 is 928121222011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95188909729 + 15033212100 = 308527^2 + 122610^2 .

It is a cyclic number.

It is not a de Polignac number, because 110222121829 - 213 = 110222113637 is a prime.

It is a super-2 number, since 2×1102221218292 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110222121829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110222121629) 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, 55111060914 + 55111060915.

It is an arithmetic number, because the mean of its divisors is an integer number (55111060915).

Almost surely, 2110222121829 is an apocalyptic number.

It is an amenable number.

110222121829 is a deficient number, since it is larger than the sum of its proper divisors (1).

110222121829 is an equidigital number, since it uses as much as digits as its factorization.

110222121829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 31.

The spelling of 110222121829 in words is "one hundred ten billion, two hundred twenty-two million, one hundred twenty-one thousand, eight hundred twenty-nine".