Search a number
-
+
123133031333 = 1319349076537
BaseRepresentation
bin111001010101101001…
…1001111001110100101
3102202211100112002111222
41302223103033032211
54004134024000313
6132322212110125
711616231332354
oct1625323171645
9382740462458
10123133031333
1148247427a14
121ba45005345
13b7c4309070
145d6149b99b
15330a076208
hex1cab4cf3a5

123133031333 has 8 divisors (see below), whose sum is σ = 133291877208. Its totient is φ = 113072338944.

The previous prime is 123133031323. The next prime is 123133031431. The reversal of 123133031333 is 333130331321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7956283204 + 115176748129 = 89198^2 + 339377^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123133031333 - 218 = 123132769189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123133031303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24535760 + ... + 24540777.

It is an arithmetic number, because the mean of its divisors is an integer number (16661484651).

Almost surely, 2123133031333 is an apocalyptic number.

123133031333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123133031333 is a deficient number, since it is larger than the sum of its proper divisors (10158845875).

123133031333 is a wasteful number, since it uses less digits than its factorization.

123133031333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49076743.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 123133031333 its reverse (333130331321), we get a palindrome (456263362654).

The spelling of 123133031333 in words is "one hundred twenty-three billion, one hundred thirty-three million, thirty-one thousand, three hundred thirty-three".

Divisors: 1 13 193 2509 49076537 637994981 9471771641 123133031333