Search a number
-
+
123313122 = 23210167829
BaseRepresentation
bin1110101100110…
…01101111100010
322121000221210200
413112121233202
5223032004442
620123010030
73025100322
oct726315742
9277027720
10123313122
1163674a79
1235369916
131c716c5a
141253d282
15ac5c34c
hex7599be2

123313122 has 24 divisors (see below), whose sum is σ = 269827740. Its totient is φ = 40696800.

The previous prime is 123313109. The next prime is 123313129. The reversal of 123313122 is 221313321.

It can be written as a sum of positive squares in 2 ways, for example, as 104468841 + 18844281 = 10221^2 + 4341^2 .

It is a super-2 number, since 2×1233131222 = 30412252114773768, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 123313095 and 123313104.

It is not an unprimeable number, because it can be changed into a prime (123313129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32097 + ... + 35732.

Almost surely, 2123313122 is an apocalyptic number.

123313122 is an abundant number, since it is smaller than the sum of its proper divisors (146514618).

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

123313122 is a wasteful number, since it uses less digits than its factorization.

123313122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67938 (or 67935 counting only the distinct ones).

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

The square root of 123313122 is about 11104.6441635921. The cubic root of 123313122 is about 497.7406352531.

Adding to 123313122 its reverse (221313321), we get a palindrome (344626443).

The spelling of 123313122 in words is "one hundred twenty-three million, three hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 67829 135658 203487 406974 610461 1220922 6850729 13701458 20552187 41104374 61656561 123313122