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110400220229 = 132653255741
BaseRepresentation
bin110011011010001011…
…1011010110001000101
3101112221222111021022112
41212310113122301011
53302044424021404
6122414523510405
710655551250165
oct1466427326105
9345858437275
10110400220229
1142903056532
1219490988405
13a5453b7800
1454b44045a5
152d1230156e
hex19b45dac45

110400220229 has 6 divisors (see below), whose sum is σ = 119545800786. Its totient is φ = 101907895440.

The previous prime is 110400220171. The next prime is 110400220261. The reversal of 110400220229 is 922022004011.

It can be written as a sum of positive squares in 3 ways, for example, as 13135452100 + 97264768129 = 114610^2 + 311873^2 .

It is not a de Polignac number, because 110400220229 - 212 = 110400216133 is a prime.

It is a super-2 number, since 2×1104002202292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110400220129) 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 in 5 ways as a sum of consecutive naturals, for example, 326627702 + ... + 326628039.

It is an arithmetic number, because the mean of its divisors is an integer number (19924300131).

Almost surely, 2110400220229 is an apocalyptic number.

It is an amenable number.

110400220229 is a deficient number, since it is larger than the sum of its proper divisors (9145580557).

110400220229 is an equidigital number, since it uses as much as digits as its factorization.

110400220229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653255767 (or 653255754 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 110400220229 in words is "one hundred ten billion, four hundred million, two hundred twenty thousand, two hundred twenty-nine".

Divisors: 1 13 169 653255741 8492324633 110400220229