Search a number
-
+
122012233213 = 13217101420481
BaseRepresentation
bin111000110100001111…
…1101110110111111101
3102122221020112122112111
41301220133232313331
53444340112430323
6132015053334021
711546401604353
oct1615037566775
9378836478474
10122012233213
11478217a7782
121b791797311
13b676055900
145c966a77d3
153291982c0d
hex1c687eedfd

122012233213 has 24 divisors (see below), whose sum is σ = 141276906216. Its totient is φ = 104951808000.

The previous prime is 122012233141. The next prime is 122012233219. The reversal of 122012233213 is 312332210221.

It can be written as a sum of positive squares in 12 ways, for example, as 31884387844 + 90127845369 = 178562^2 + 300213^2 .

It is not a de Polignac number, because 122012233213 - 225 = 121978678781 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012233219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79933 + ... + 500413.

It is an arithmetic number, because the mean of its divisors is an integer number (5886537759).

Almost surely, 2122012233213 is an apocalyptic number.

122012233213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122012233213 is a deficient number, since it is larger than the sum of its proper divisors (19264673003).

122012233213 is a wasteful number, since it uses less digits than its factorization.

122012233213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420625 (or 420612 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122012233213 its reverse (312332210221), we get a palindrome (434344443434).

The spelling of 122012233213 in words is "one hundred twenty-two billion, twelve million, two hundred thirty-three thousand, two hundred thirteen".

Divisors: 1 13 17 101 169 221 1313 1717 2873 17069 22321 290173 420481 5466253 7148177 42468581 71061289 92926301 552091553 721965877 1208041913 7177190189 9385556401 122012233213