Search a number
-
+
123313111120 = 24515110208039
BaseRepresentation
bin111001011011000001…
…0001100000001010000
3102210021220101002112201
41302312002030001100
54010021124023440
6132352123532544
711623546102333
oct1626602140120
9383256332481
10123313111120
114832a044591
121ba9538a154
13b82270a354
145d7b37661a
15331ac9819a
hex1cb608c050

123313111120 has 40 divisors (see below), whose sum is σ = 288601706880. Its totient is φ = 48998582400.

The previous prime is 123313111093. The next prime is 123313111127. The reversal of 123313111120 is 21111313321.

123313111120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1233131111202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123313111127) 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 7 ways as a sum of consecutive naturals, for example, 5091940 + ... + 5116099.

It is an arithmetic number, because the mean of its divisors is an integer number (7215042672).

Almost surely, 2123313111120 is an apocalyptic number.

123313111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313111120 is an abundant number, since it is smaller than the sum of its proper divisors (165288595760).

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

123313111120 is a wasteful number, since it uses less digits than its factorization.

123313111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10208203 (or 10208197 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 123313111120 its reverse (21111313321), we get a palindrome (144424424441).

The spelling of 123313111120 in words is "one hundred twenty-three billion, three hundred thirteen million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 6040 12080 10208039 20416078 40832156 51040195 81664312 102080390 163328624 204160780 408321560 816643120 1541413889 3082827778 6165655556 7707069445 12331311112 15414138890 24662622224 30828277780 61656555560 123313111120