Search a number
-
+
242231243100 = 2235271124123251
BaseRepresentation
bin1110000110011000011…
…0110111000101011100
3212011020111211010010020
43201212012313011130
512432042144234400
6303140212112140
723333500410510
oct3414606670534
9764214733106
10242231243100
1193803249200
123ab42905650
1319ac4721b12
14ba1cb40140
15647ac9a2a0
hex38661b715c

242231243100 has 432 divisors, whose sum is σ = 901926106368. Its totient is φ = 49104000000.

The previous prime is 242231243069. The next prime is 242231243119. The reversal of 242231243100 is 1342132242.

It is a happy number.

242231243100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2422312431002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10406475 + ... + 10429725.

Almost surely, 2242231243100 is an apocalyptic number.

242231243100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242231243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450963053184).

242231243100 is an abundant number, since it is smaller than the sum of its proper divisors (659694863268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242231243100 is a wasteful number, since it uses less digits than its factorization.

242231243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23338 (or 23320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242231243100 its reverse (1342132242), we get a palindrome (243573375342).

The spelling of 242231243100 in words is "two hundred forty-two billion, two hundred thirty-one million, two hundred forty-three thousand, one hundred".