Search a number
-
+
123422454441 = 32111395899343
BaseRepresentation
bin111001011110010001…
…1010011001010101001
3102210120112010022101100
41302330203103022221
54010232122020231
6132411031312013
711626344360456
oct1627443231251
9383515108340
10123422454441
1148385837870
121bb05b1b609
13b83c272840
145d8baba82d
1533256961e6
hex1cbc8d32a9

123422454441 has 24 divisors (see below), whose sum is σ = 209444167296. Its totient is φ = 69047526240.

The previous prime is 123422454427. The next prime is 123422454457. The reversal of 123422454441 is 144454224321.

123422454441 is a `hidden beast` number, since 12 + 3 + 42 + 24 + 544 + 41 = 666.

It is not a de Polignac number, because 123422454441 - 210 = 123422453417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123422454396 and 123422454405.

It is not an unprimeable number, because it can be changed into a prime (123422454541) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 47948385 + ... + 47950958.

It is an arithmetic number, because the mean of its divisors is an integer number (8726840304).

Almost surely, 2123422454441 is an apocalyptic number.

123422454441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123422454441 is a deficient number, since it is larger than the sum of its proper divisors (86021712855).

123422454441 is a wasteful number, since it uses less digits than its factorization.

123422454441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95899373 (or 95899370 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 123422454441 its reverse (144454224321), we get a palindrome (267876678762).

The spelling of 123422454441 in words is "one hundred twenty-three billion, four hundred twenty-two million, four hundred fifty-four thousand, four hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 1287 95899343 287698029 863094087 1054892773 1246691459 3164678319 3740074377 9494034957 11220223131 13713606049 41140818147 123422454441