Search a number
-
+
123431363134321 = 1121020093910201
BaseRepresentation
bin11100000100001010011010…
…100011011100001101110001
3121012000220220220212222111211
4130010022122203130031301
5112134244412430244241
61114303330241240121
734666423146451534
oct3404123243341561
9535026826788454
10123431363134321
1136368a46705300
1211a159a9933041
1353b46b21a1748
14226a17760aa1b
15e40aeddcd781
hex70429a8dc371

123431363134321 has 6 divisors (see below), whose sum is σ = 135672490056866. Its totient is φ = 112210330122000.

The previous prime is 123431363134301. The next prime is 123431363134357.

123431363134321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 123230780076096 + 200583058225 = 11100936^2 + 447865^2 .

It is not a de Polignac number, because 123431363134321 - 29 = 123431363133809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123431363134301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 510046954980 + ... + 510046955221.

Almost surely, 2123431363134321 is an apocalyptic number.

123431363134321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123431363134321 is a deficient number, since it is larger than the sum of its proper divisors (12241126922545).

123431363134321 is a wasteful number, since it uses less digits than its factorization.

123431363134321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020093910223 (or 1020093910212 counting only the distinct ones).

The product of its digits is 279936, while the sum is 40.

The spelling of 123431363134321 in words is "one hundred twenty-three trillion, four hundred thirty-one billion, three hundred sixty-three million, one hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 11 121 1020093910201 11221033012211 123431363134321