Search a number
-
+
123102121104 = 2432978813153
BaseRepresentation
bin111001010100101110…
…1010100110010010000
3102202202012100200122200
41302221131110302100
54004103120333404
6132315145403200
711615404523154
oct1625135246220
9382665320580
10123102121104
1148230a35676
121ba36799500
13b7baaa59a1
145d5b333064
1533074bc839
hex1ca9754c90

123102121104 has 60 divisors (see below), whose sum is σ = 348066704076. Its totient is φ = 40611004416.

The previous prime is 123102121081. The next prime is 123102121157. The reversal of 123102121104 is 401121201321.

It can be written as a sum of positive squares in 2 ways, for example, as 61226553600 + 61875567504 = 247440^2 + 248748^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4392609 + ... + 4420544.

Almost surely, 2123102121104 is an apocalyptic number.

It is an amenable number.

123102121104 is an abundant number, since it is smaller than the sum of its proper divisors (224964582972).

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

123102121104 is a wasteful number, since it uses less digits than its factorization.

123102121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813264 (or 8813255 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 123102121104 its reverse (401121201321), we get a palindrome (524223322425).

The spelling of 123102121104 in words is "one hundred twenty-three billion, one hundred two million, one hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 8813153 17626306 26439459 35252612 52878918 70505224 79318377 105757836 141010448 158636754 211515672 317273508 423031344 634547016 854875841 1269094032 1709751682 2564627523 3419503364 5129255046 6839006728 7693882569 10258510092 13678013456 15387765138 20517020184 30775530276 41034040368 61551060552 123102121104