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242420013 = 33111276427
BaseRepresentation
bin11100111001100…
…00100100101101
3121220011012202000
432130300210231
5444024420023
640015522513
76002351613
oct1634604455
9556135660
10242420013
11114926820
1269229439
133b2ba4c4
14242a56b3
1516438243
hexe73092d

242420013 has 32 divisors (see below), whose sum is σ = 394936320. Its totient is φ = 145741680.

The previous prime is 242420011. The next prime is 242420027. The reversal of 242420013 is 310024242.

242420013 is a `hidden beast` number, since 242 + 420 + 0 + 1 + 3 = 666.

242420013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242420013 - 21 = 242420011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242420011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34506 + ... + 40932.

It is an arithmetic number, because the mean of its divisors is an integer number (12341760).

Almost surely, 2242420013 is an apocalyptic number.

It is an amenable number.

242420013 is a deficient number, since it is larger than the sum of its proper divisors (152516307).

242420013 is a wasteful number, since it uses less digits than its factorization.

242420013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6574 (or 6568 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242420013 is about 15569.8430627929. The cubic root of 242420013 is about 623.5282816188.

Adding to 242420013 its reverse (310024242), we get a palindrome (552444255).

The spelling of 242420013 in words is "two hundred forty-two million, four hundred twenty thousand, thirteen".

Divisors: 1 3 9 11 27 33 99 127 297 381 1143 1397 3429 4191 6427 12573 19281 37719 57843 70697 173529 212091 636273 816229 1908819 2448687 7346061 8978519 22038183 26935557 80806671 242420013