Search a number
-
+
242136533 is a prime number
BaseRepresentation
bin11100110111010…
…11010111010101
3121212121210212202
432123223113111
5443441332113
640005454245
76000061262
oct1633532725
9555553782
10242136533
11114752841
1269111385
133b21b472
1424230269
15163ce258
hexe6eb5d5

242136533 has 2 divisors, whose sum is σ = 242136534. Its totient is φ = 242136532.

The previous prime is 242136463. The next prime is 242136553. The reversal of 242136533 is 335631242.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217356049 + 24780484 = 14743^2 + 4978^2 .

It is a cyclic number.

It is not a de Polignac number, because 242136533 - 212 = 242132437 is a prime.

It is a super-3 number, since 3×2421365333 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is equal to p13272365 and since 242136533 and 13272365 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 242136496 and 242136505.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (242136553) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121068266 + 121068267.

It is an arithmetic number, because the mean of its divisors is an integer number (121068267).

Almost surely, 2242136533 is an apocalyptic number.

It is an amenable number.

242136533 is a deficient number, since it is larger than the sum of its proper divisors (1).

242136533 is an equidigital number, since it uses as much as digits as its factorization.

242136533 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12960, while the sum is 29.

The square root of 242136533 is about 15560.7369041444. The cubic root of 242136533 is about 623.2851406083.

Adding to 242136533 its reverse (335631242), we get a palindrome (577767775).

The spelling of 242136533 in words is "two hundred forty-two million, one hundred thirty-six thousand, five hundred thirty-three".