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241123131410320 = 2453014039142629
BaseRepresentation
bin110110110100110011011010…
…100110000100011110010000
31011121202010221121110020021101
4312310303122212010132100
5223101030133120112240
62212454234245434144
7101534366656012045
oct6664633246043620
91147663847406241
10241123131410320
116a913822683345
1223063340a0b954
13a470a769b1443
1443785c97011cc
151cd227537839a
hexdb4cda984790

241123131410320 has 20 divisors (see below), whose sum is σ = 560611280529180. Its totient is φ = 96449252564096.

The previous prime is 241123131410267. The next prime is 241123131410327. The reversal of 241123131410320 is 23014131321142.

It can be written as a sum of positive squares in 2 ways, for example, as 61120873824256 + 180002257586064 = 7817984^2 + 13416492^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×2411231314103202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241123131410327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1507019571235 + ... + 1507019571394.

It is an arithmetic number, because the mean of its divisors is an integer number (28030564026459).

Almost surely, 2241123131410320 is an apocalyptic number.

241123131410320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241123131410320 is an abundant number, since it is smaller than the sum of its proper divisors (319488149118860).

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

241123131410320 is a wasteful number, since it uses less digits than its factorization.

241123131410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014039142642 (or 3014039142636 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 241123131410320 its reverse (23014131321142), we get a palindrome (264137262731462).

The spelling of 241123131410320 in words is "two hundred forty-one trillion, one hundred twenty-three billion, one hundred thirty-one million, four hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3014039142629 6028078285258 12056156570516 15070195713145 24112313141032 30140391426290 48224626282064 60280782852580 120561565705160 241123131410320