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123120313230 = 23559222131319
BaseRepresentation
bin111001010101010001…
…0101110001110001110
3102202210110120221120010
41302222202232032032
54004122300010410
6132321035334050
711616015252345
oct1625242561616
9382713527503
10123120313230
1148240230692
121ba408b1326
13b7c17a5265
145d5d90ab5c
153308db2c20
hex1caa8ae38e

123120313230 has 64 divisors (see below), whose sum is σ = 300641932800. Its totient is φ = 32260045440.

The previous prime is 123120313207. The next prime is 123120313259. The reversal of 123120313230 is 32313021321.

123120313230 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1231203132302 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123120313197 and 123120313206.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3915511 + ... + 3946829.

It is an arithmetic number, because the mean of its divisors is an integer number (4697530200).

Almost surely, 2123120313230 is an apocalyptic number.

123120313230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123120313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150320966400).

123120313230 is an abundant number, since it is smaller than the sum of its proper divisors (177521619570).

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

123120313230 is a wasteful number, since it uses less digits than its factorization.

123120313230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33609.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123120313230 its reverse (32313021321), we get a palindrome (155433334551).

The spelling of 123120313230 in words is "one hundred twenty-three billion, one hundred twenty million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 1770 2221 4442 6663 11105 13326 22210 31319 33315 62638 66630 93957 131039 156595 187914 262078 313190 393117 469785 655195 786234 939570 1310390 1847821 1965585 3695642 3931170 5543463 9239105 11086926 18478210 27717315 55434630 69559499 139118998 208678497 347797495 417356994 695594990 1043392485 2086784970 4104010441 8208020882 12312031323 20520052205 24624062646 41040104410 61560156615 123120313230