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123011203133 = 7213193110209
BaseRepresentation
bin111001010010000001…
…0100000000000111101
3102202111212021120122102
41302210002200000331
54003411332000013
6132302140554445
711613221655200
oct1624402400075
9382455246572
10123011203133
1148194687655
121ba10252a25
13b7a4cc1c80
145d4d227937
1532ee50dd58
hex1ca40a003d

123011203133 has 12 divisors (see below), whose sum is σ = 154101947580. Its totient is φ = 97327544832.

The previous prime is 123011203129. The next prime is 123011203157. The reversal of 123011203133 is 331302110321.

It can be written as a sum of positive squares in 2 ways, for example, as 76146746809 + 46864456324 = 275947^2 + 216482^2 .

It is not a de Polignac number, because 123011203133 - 22 = 123011203129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123011203103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96554468 + ... + 96555741.

It is an arithmetic number, because the mean of its divisors is an integer number (12841828965).

Almost surely, 2123011203133 is an apocalyptic number.

123011203133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123011203133 is a deficient number, since it is larger than the sum of its proper divisors (31090744447).

123011203133 is a wasteful number, since it uses less digits than its factorization.

123011203133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193110236 (or 193110229 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 123011203133 its reverse (331302110321), we get a palindrome (454313313454).

The spelling of 123011203133 in words is "one hundred twenty-three billion, eleven million, two hundred three thousand, one hundred thirty-three".

Divisors: 1 7 13 49 91 637 193110209 1351771463 2510432717 9462400241 17573029019 123011203133