Search a number
-
+
102226464161 = 192318189021
BaseRepresentation
bin101111100110100101…
…1000000110110100001
3100202212100010102220022
41133031023000312201
53133324433323121
6114543455523225
710246160415443
oct1371513006641
9322770112808
10102226464161
113a3991a0628
121798b529515
139841b78863
144d3aa2a493
1529d4932aab
hex17cd2c0da1

102226464161 has 12 divisors (see below), whose sum is σ = 107925109524. Its totient is φ = 96814591200.

The previous prime is 102226464103. The next prime is 102226464169. The reversal of 102226464161 is 161464622201.

It can be written as a sum of positive squares in 2 ways, for example, as 35955744400 + 66270719761 = 189620^2 + 257431^2 .

It is not a de Polignac number, because 102226464161 - 214 = 102226447777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102226464169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1103831 + ... + 1192851.

It is an arithmetic number, because the mean of its divisors is an integer number (8993759127).

Almost surely, 2102226464161 is an apocalyptic number.

It is an amenable number.

102226464161 is a deficient number, since it is larger than the sum of its proper divisors (5698645363).

102226464161 is an equidigital number, since it uses as much as digits as its factorization.

102226464161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92240 (or 92221 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 102226464161 in words is "one hundred two billion, two hundred twenty-six million, four hundred sixty-four thousand, one hundred sixty-one".

Divisors: 1 19 361 3181 60439 89021 1148341 1691399 32136581 283175801 5380340219 102226464161