Search a number
-
+
123131322 = 23289101761
BaseRepresentation
bin1110101011011…
…01010110111010
322120200201102100
413111231112322
5223010200242
620115044230
73023412306
oct725552672
9276621370
10123131322
1163560426
12352a0676
131c682292
14124d2d06
15ac2354c
hex756d5ba

123131322 has 48 divisors (see below), whose sum is σ = 272811240. Its totient is φ = 40128000.

The previous prime is 123131293. The next prime is 123131329. The reversal of 123131322 is 223131321.

It can be written as a sum of positive squares in 4 ways, for example, as 80084601 + 43046721 = 8949^2 + 6561^2 .

It is a super-2 number, since 2×1231313222 = 30322644914935368, 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 = 123131295 and 123131304.

It is not an unprimeable number, because it can be changed into a prime (123131329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161422 + ... + 162182.

Almost surely, 2123131322 is an apocalyptic number.

123131322 is an abundant number, since it is smaller than the sum of its proper divisors (149679918).

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

123131322 is a wasteful number, since it uses less digits than its factorization.

123131322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 956 counting only the distinct ones).

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

The square root of 123131322 is about 11096.4553799851. The cubic root of 123131322 is about 497.4959093289.

Adding to 123131322 its reverse (223131321), we get a palindrome (346262643).

Subtracting 123131322 from its reverse (223131321), we obtain a palindrome (99999999).

The spelling of 123131322 in words is "one hundred twenty-three million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 89 101 178 202 267 303 534 606 761 801 909 1522 1602 1818 2283 4566 6849 8989 13698 17978 26967 53934 67729 76861 80901 135458 153722 161802 203187 230583 406374 461166 609561 691749 1219122 1383498 6840629 13681258 20521887 41043774 61565661 123131322