Search a number
-
+
123020202201552 = 2432854306959733
BaseRepresentation
bin11011111110001011011111…
…011100111101000111010000
3121010120121122102001111000200
4123332023133130331013100
5112111030333230422202
61113350411203415200
734624626202262115
oct3376133734750720
9533517572044020
10123020202201552
113621a636015a27
121196a180984500
1353849a84ac896
1422542d104490c
15e35087756e1c
hex6fe2df73d1d0

123020202201552 has 30 divisors (see below), whose sum is σ = 344285704772802. Its totient is φ = 41006734067136.

The previous prime is 123020202201487. The next prime is 123020202201619. The reversal of 123020202201552 is 255102202020321.

123020202201552 is a `hidden beast` number, since 1 + 2 + 302 + 0 + 202 + 2 + 0 + 155 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 119588134724496 + 3432067477056 = 10935636^2 + 1852584^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 427153479723 + ... + 427153480010.

Almost surely, 2123020202201552 is an apocalyptic number.

123020202201552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123020202201552 is an abundant number, since it is smaller than the sum of its proper divisors (221265502571250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123020202201552 is a wasteful number, since it uses less digits than its factorization.

123020202201552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854306959747 (or 854306959738 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 123020202201552 its reverse (255102202020321), we get a palindrome (378122404221873).

The spelling of 123020202201552 in words is "one hundred twenty-three trillion, twenty billion, two hundred two million, two hundred one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 854306959733 1708613919466 2562920879199 3417227838932 5125841758398 6834455677864 7688762637597 10251683516796 13668911355728 15377525275194 20503367033592 30755050550388 41006734067184 61510101100776 123020202201552