Search a number
-
+
242131071 = 37133723971
BaseRepresentation
bin11100110111010…
…10000001111111
3121212121112101110
432123222001333
5443441143241
640005413103
76000036330
oct1633520177
9555545343
10242131071
11114749726
126910a193
133b218b30
142422c287
15163cc816
hexe6ea07f

242131071 has 32 divisors (see below), whose sum is σ = 408099328. Its totient is φ = 124260480.

The previous prime is 242131039. The next prime is 242131073. The reversal of 242131071 is 170131242.

It is not a de Polignac number, because 242131071 - 25 = 242131039 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242131073) 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, 1885 + ... + 22086.

It is an arithmetic number, because the mean of its divisors is an integer number (12753104).

Almost surely, 2242131071 is an apocalyptic number.

242131071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242131071 is a deficient number, since it is larger than the sum of its proper divisors (165968257).

242131071 is a wasteful number, since it uses less digits than its factorization.

242131071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24031.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 242131071 is about 15560.5613973275. The cubic root of 242131071 is about 623.2804539838.

The spelling of 242131071 in words is "two hundred forty-two million, one hundred thirty-one thousand, seventy-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 23971 71913 167797 311623 503391 886927 934869 2181361 2660781 6208489 6544083 11530051 18625467 34590153 80710357 242131071