Search a number
-
+
121442424 = 23317217509
BaseRepresentation
bin1110011110100…
…01000001111000
322110111220200120
413033101001320
5222042124144
620014533240
73003146355
oct717210170
9273456616
10121442424
1162607544
1234807220
131c21062c
14121b362c
15a9dce19
hex73d1078

121442424 has 48 divisors (see below), whose sum is σ = 322534200. Its totient is φ = 38097408.

The previous prime is 121442389. The next prime is 121442437. The reversal of 121442424 is 424244121.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 121442394 and 121442403.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1819 + ... + 15690.

Almost surely, 2121442424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161267100).

121442424 is an abundant number, since it is smaller than the sum of its proper divisors (201091776).

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

121442424 is a wasteful number, since it uses less digits than its factorization.

121442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17552 (or 17531 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 121442424 is about 11020.0918326482. The cubic root of 121442424 is about 495.2108396795.

Adding to 121442424 its reverse (424244121), we get a palindrome (545686545).

The spelling of 121442424 in words is "one hundred twenty-one million, four hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6936 17509 35018 52527 70036 105054 140072 210108 297653 420216 595306 892959 1190612 1785918 2381224 3571836 5060101 7143672 10120202 15180303 20240404 30360606 40480808 60721212 121442424