Search a number
-
+
241204033122 = 231331193151659
BaseRepresentation
bin1110000010100011100…
…0010111011001100010
3212001120220221102221020
43200220320113121202
512422441213024442
6302450235310310
723266155311313
oct3405070273142
9761526842836
10241204033122
1193326430138
123a8b68ab396
131998c978870
14b96254c60a
15641a9e19ec
hex3828e17662

241204033122 has 64 divisors (see below), whose sum is σ = 536563077120. Its totient is φ = 71783956800.

The previous prime is 241204033099. The next prime is 241204033181. The reversal of 241204033122 is 221330402142.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 241204033092 and 241204033101.

It is an unprimeable number.

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, 4643329 + ... + 4694987.

It is an arithmetic number, because the mean of its divisors is an integer number (8383798080).

Almost surely, 2241204033122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241204033122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268281538560).

241204033122 is an abundant number, since it is smaller than the sum of its proper divisors (295359043998).

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

241204033122 is a wasteful number, since it uses less digits than its factorization.

241204033122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53639.

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

Adding to 241204033122 its reverse (221330402142), we get a palindrome (462534435264).

The spelling of 241204033122 in words is "two hundred forty-one billion, two hundred four million, thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 806 1209 1931 2418 3862 5793 11586 25103 50206 51659 59861 75309 103318 119722 150618 154977 179583 309954 359166 671567 778193 1343134 1556386 1601429 2014701 2334579 3202858 4029402 4669158 4804287 9608574 20818577 41637154 62455731 99753529 124911462 199507058 299260587 598521174 1296795877 2593591754 3092359399 3890387631 6184718798 7780775262 9277078197 18554156394 40200672187 80401344374 120602016561 241204033122