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110056216129 is a prime number
BaseRepresentation
bin110011001111111011…
…1001001011001000001
3101112002000012001101221
41212133313021121001
53300343342404004
6122320434355041
710644203254606
oct1463767113101
9345060161357
10110056216129
1142746957122
12193b572ba81
13a4bc0507a2
1454808586ad
152ce1eee354
hex199fdc9641

110056216129 has 2 divisors, whose sum is σ = 110056216130. Its totient is φ = 110056216128.

The previous prime is 110056216117. The next prime is 110056216183. The reversal of 110056216129 is 921612650011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69915292225 + 40140923904 = 264415^2 + 200352^2 .

It is an emirp because it is prime and its reverse (921612650011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110056216129 - 27 = 110056216001 is a prime.

It is a super-2 number, since 2×1100562161292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110056216094 and 110056216103.

It is not a weakly prime, because it can be changed into another prime (110056214129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55028108064 + 55028108065.

It is an arithmetic number, because the mean of its divisors is an integer number (55028108065).

Almost surely, 2110056216129 is an apocalyptic number.

It is an amenable number.

110056216129 is a deficient number, since it is larger than the sum of its proper divisors (1).

110056216129 is an equidigital number, since it uses as much as digits as its factorization.

110056216129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 110056216129 in words is "one hundred ten billion, fifty-six million, two hundred sixteen thousand, one hundred twenty-nine".