Search a number
-
+
241330332324105 = 325371178312301039
BaseRepresentation
bin110110110111110100011000…
…101110110101000100001001
31011122110221202210112020110100
4312313310120232311010021
5223112424010033332410
62213133342452240013
7101555353415506563
oct6667643056650411
91148427683466410
10241330332324105
116a99368a145662
1223097528010009
13a487477b2073b
144384643cbc333
151cd7850aa18c0
hexdb7d18bb5109

241330332324105 has 48 divisors (see below), whose sum is σ = 429647969687040. Its totient is φ = 125220236874624.

The previous prime is 241330332324101. The next prime is 241330332324127. The reversal of 241330332324105 is 501423233033142.

241330332324105 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 3 + 0 + 3 + 3 + 232 + 410 + 5 = 666.

It is not a de Polignac number, because 241330332324105 - 22 = 241330332324101 is a prime.

It is a super-2 number, since 2×2413303323241052 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241330332324105.

It is not an unprimeable number, because it can be changed into a prime (241330332324101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13468176 + ... + 25769214.

It is an arithmetic number, because the mean of its divisors is an integer number (8950999368480).

Almost surely, 2241330332324105 is an apocalyptic number.

It is an amenable number.

241330332324105 is a deficient number, since it is larger than the sum of its proper divisors (188317637362935).

241330332324105 is a wasteful number, since it uses less digits than its factorization.

241330332324105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312870 (or 12312867 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 241330332324105 its reverse (501423233033142), we get a palindrome (742753565357247).

The spelling of 241330332324105 in words is "two hundred forty-one trillion, three hundred thirty billion, three hundred thirty-two million, three hundred twenty-four thousand, one hundred five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 11783 35349 58915 106047 176745 435971 530235 1307913 2179855 3923739 6539565 12301039 19618695 36903117 61505195 110709351 184515585 455138443 553546755 1365415329 2275692215 4096245987 6827076645 20481229935 144943142537 434829427611 724715712685 1304488282833 2174147138055 5362896273869 6522441414165 16088688821607 26814481369345 48266066464821 80443444108035 241330332324105