Search a number
-
+
123102332221 = 1122752339421
BaseRepresentation
bin111001010100101111…
…0001000010100111101
3102202202012202102020211
41302221132020110331
54004103144112341
6132315154112421
711615406362521
oct1625136102475
9382665672224
10123102332221
114823106a250
121ba3687b711
13b7bab4aacb
145d5b389d81
153307510181
hex1ca978853d

123102332221 has 16 divisors (see below), whose sum is σ = 134925150528. Its totient is φ = 111385094400.

The previous prime is 123102332209. The next prime is 123102332231. The reversal of 123102332221 is 122233201321.

It is a cyclic number.

It is not a de Polignac number, because 123102332221 - 229 = 122565461309 is a prime.

It is a super-3 number, since 3×1231023322213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123102332192 and 123102332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123102332231) 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 15 ways as a sum of consecutive naturals, for example, 13062091 + ... + 13071511.

It is an arithmetic number, because the mean of its divisors is an integer number (8432821908).

Almost surely, 2123102332221 is an apocalyptic number.

123102332221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123102332221 is a deficient number, since it is larger than the sum of its proper divisors (11822818307).

123102332221 is a wasteful number, since it uses less digits than its factorization.

123102332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14892.

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

Adding to 123102332221 its reverse (122233201321), we get a palindrome (245335533542).

The spelling of 123102332221 in words is "one hundred twenty-three billion, one hundred two million, three hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 11 227 2497 5233 9421 57563 103631 1187891 2138567 13066801 23524237 49300093 542301023 11191121111 123102332221