Search a number
-
+
241340100105 = 35134130186379
BaseRepresentation
bin1110000011000011111…
…1011010111000001001
3212001221101222100202010
43200300333122320021
512423231031200410
6302511535530133
723302430001126
oct3406077327011
9761841870663
10241340100105
1193396216295
123a934389949
13199b1c09980
14b97664b74d
15642791cc20
hex3830fdae09

241340100105 has 32 divisors (see below), whose sum is σ = 425990194560. Its totient is φ = 115915691520.

The previous prime is 241340100091. The next prime is 241340100119. The reversal of 241340100105 is 501001043142.

241340100105 = 240572 + 240582 + ... + 244662.

241340100105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (241340100091) and next prime (241340100119).

It is not a de Polignac number, because 241340100105 - 28 = 241340099849 is a prime.

It is a super-2 number, since 2×2413401001052 (a number of 24 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 15085195 + ... + 15101184.

It is an arithmetic number, because the mean of its divisors is an integer number (13312193580).

Almost surely, 2241340100105 is an apocalyptic number.

It is an amenable number.

241340100105 is a deficient number, since it is larger than the sum of its proper divisors (184650094455).

241340100105 is a wasteful number, since it uses less digits than its factorization.

241340100105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30186441.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 241340100105 its reverse (501001043142), we get a palindrome (742341143247).

The spelling of 241340100105 in words is "two hundred forty-one billion, three hundred forty million, one hundred thousand, one hundred five".

Divisors: 1 3 5 13 15 39 41 65 123 195 205 533 615 1599 2665 7995 30186379 90559137 150931895 392422927 452795685 1177268781 1237641539 1962114635 3712924617 5886343905 6188207695 16089340007 18564623085 48268020021 80446700035 241340100105