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242132331 = 3783138917
BaseRepresentation
bin11100110111010…
…10010101101011
3121212121121010010
432123222111223
5443441213311
640005423003
76000043110
oct1633522553
9555547103
10242132331
1111474a671
126910aa63
133b21958c
142422c907
15163ccda6
hexe6ea56b

242132331 has 16 divisors (see below), whose sum is σ = 373411584. Its totient is φ = 136693344.

The previous prime is 242132327. The next prime is 242132353. The reversal of 242132331 is 133231242.

It is not a de Polignac number, because 242132331 - 22 = 242132327 is a prime.

It is a super-2 number, since 2×2421323312 = 117256131430987122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 242132298 and 242132307.

It is not an unprimeable number, because it can be changed into a prime (242132311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67716 + ... + 71201.

It is an arithmetic number, because the mean of its divisors is an integer number (23338224).

Almost surely, 2242132331 is an apocalyptic number.

242132331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242132331 is a deficient number, since it is larger than the sum of its proper divisors (131279253).

242132331 is a wasteful number, since it uses less digits than its factorization.

242132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139010.

The product of its digits is 864, while the sum is 21.

The square root of 242132331 is about 15560.6018842460. The cubic root of 242132331 is about 623.2815351227.

Adding to 242132331 its reverse (133231242), we get a palindrome (375363573).

The spelling of 242132331 in words is "two hundred forty-two million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 83 249 581 1743 138917 416751 972419 2917257 11530111 34590333 80710777 242132331