Search a number
-
+
242126001 = 32135693637
BaseRepresentation
bin11100110111010…
…00110010110001
3121212121021102200
432123220302301
5443441013001
640005333413
76000015465
oct1633506261
9555537380
10242126001
11114745937
1269107269
133b216730
142422a4a5
15163cb086
hexe6e8cb1

242126001 has 24 divisors (see below), whose sum is σ = 377406120. Its totient is φ = 148697856.

The previous prime is 242125997. The next prime is 242126009. The reversal of 242126001 is 100621242.

It can be written as a sum of positive squares in 4 ways, for example, as 20711601 + 221414400 = 4551^2 + 14880^2 .

It is not a de Polignac number, because 242126001 - 22 = 242125997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242126009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64755 + ... + 68391.

It is an arithmetic number, because the mean of its divisors is an integer number (15725255).

Almost surely, 2242126001 is an apocalyptic number.

It is an amenable number.

242126001 is a deficient number, since it is larger than the sum of its proper divisors (135280119).

242126001 is a wasteful number, since it uses less digits than its factorization.

242126001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 242126001 is about 15560.3984846147. The cubic root of 242126001 is about 623.2761036486.

Adding to 242126001 its reverse (100621242), we get a palindrome (342747243).

The spelling of 242126001 in words is "two hundred forty-two million, one hundred twenty-six thousand, one".

Divisors: 1 3 9 13 39 117 569 1707 3637 5121 7397 10911 22191 32733 47281 66573 141843 425529 2069453 6208359 18625077 26902889 80708667 242126001