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123320106 = 23271379953
BaseRepresentation
bin1110101100110…
…11011100101010
322121001022101100
413112123130222
5223032220411
620123102230
73025126560
oct726333452
9277038340
10123320106
116367a248
1235371976
131c71a1a0
1412541a30
15ac5e456
hex759b72a

123320106 has 96 divisors (see below), whose sum is σ = 333365760. Its totient is φ = 32078592.

The previous prime is 123320069. The next prime is 123320117. The reversal of 123320106 is 601023321.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128926 + ... + 129878.

It is an arithmetic number, because the mean of its divisors is an integer number (3472560).

Almost surely, 2123320106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123320106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166682880).

123320106 is an abundant number, since it is smaller than the sum of its proper divisors (210045654).

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

123320106 is a wasteful number, since it uses less digits than its factorization.

123320106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 123320106 is about 11104.9586221651. The cubic root of 123320106 is about 497.7500318064.

Adding to 123320106 its reverse (601023321), we get a palindrome (724343427).

The spelling of 123320106 in words is "one hundred twenty-three million, three hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 79 91 117 126 158 182 234 237 273 474 546 553 711 819 953 1027 1106 1422 1638 1659 1906 2054 2859 3081 3318 4977 5718 6162 6671 7189 8577 9243 9954 12389 13342 14378 17154 18486 20013 21567 24778 37167 40026 43134 60039 64701 74334 75287 86723 111501 120078 129402 150574 173446 223002 225861 260169 451722 520338 527009 677583 780507 978731 1054018 1355166 1561014 1581027 1957462 2936193 3162054 4743081 5872386 6851117 8808579 9486162 13702234 17617158 20553351 41106702 61660053 123320106