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242131323 = 37174315773
BaseRepresentation
bin11100110111010…
…10000101111011
3121212121112201210
432123222011323
5443441200243
640005414203
76000040140
oct1633520573
9555545653
10242131323
11114749935
126910a363
133b218c95
142422c3c7
15163cc933
hexe6ea17b

242131323 has 32 divisors (see below), whose sum is σ = 399776256. Its totient is φ = 127185408.

The previous prime is 242131283. The next prime is 242131333. The reversal of 242131323 is 323131242.

It is not a de Polignac number, because 242131323 - 26 = 242131259 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 242131323.

It is not an unprimeable number, because it can be changed into a prime (242131333) 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 31 ways as a sum of consecutive naturals, for example, 7465 + ... + 23237.

It is an arithmetic number, because the mean of its divisors is an integer number (12493008).

Almost surely, 2242131323 is an apocalyptic number.

242131323 is a deficient number, since it is larger than the sum of its proper divisors (157644933).

242131323 is a wasteful number, since it uses less digits than its factorization.

242131323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843.

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

The square root of 242131323 is about 15560.5694947197. The cubic root of 242131323 is about 623.2806702119.

Adding to 242131323 its reverse (323131242), we get a palindrome (565262565).

The spelling of 242131323 in words is "two hundred forty-two million, one hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 7 17 21 43 51 119 129 301 357 731 903 2193 5117 15351 15773 47319 110411 268141 331233 678239 804423 1876987 2034717 4747673 5630961 11530063 14243019 34590189 80710441 242131323