Search a number
-
+
123110123010 = 2357283748383
BaseRepresentation
bin111001010100111101…
…1110110011000000010
3102202202202102020012120
41302221323312120002
54004112142414020
6132320033105110
711615532531300
oct1625173663002
9382682366176
10123110123010
1148235500616
121ba393b8196
13b7bc647c44
145d5c417270
15330804d740
hex1ca9ef6602

123110123010 has 48 divisors (see below), whose sum is σ = 343703367936. Its totient is φ = 28139456352.

The previous prime is 123110122999. The next prime is 123110123011. The reversal of 123110123010 is 10321011321.

It is a happy number.

It is a super-2 number, since 2×1231101230102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (123110123011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41872722 + ... + 41875661.

It is an arithmetic number, because the mean of its divisors is an integer number (7160486832).

Almost surely, 2123110123010 is an apocalyptic number.

123110123010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123110123010 is an abundant number, since it is smaller than the sum of its proper divisors (220593244926).

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

123110123010 is a wasteful number, since it uses less digits than its factorization.

123110123010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83748407 (or 83748400 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123110123010 its reverse (10321011321), we get a palindrome (133431134331).

The spelling of 123110123010 in words is "one hundred twenty-three billion, one hundred ten million, one hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1470 83748383 167496766 251245149 418741915 502490298 586238681 837483830 1172477362 1256225745 1758716043 2512451490 2931193405 3517432086 4103670767 5862386810 8207341534 8793580215 12311012301 17587160430 20518353835 24622024602 41036707670 61555061505 123110123010