Search a number
-
+
241240510012013 = 3537481774111801
BaseRepresentation
bin110110110110100000101110…
…111001111001101001101101
31011122011100220221000000022122
4312312200232321321221231
5223104441031030341023
62213024205500322325
7101546023504451561
oct6666405671715155
91148140827000278
10241240510012013
116a959586858086
122308203a8433a5
13a47bb61a72b45
1443801628356a1
151cd53451232c8
hexdb682ee79a6d

241240510012013 has 16 divisors (see below), whose sum is σ = 242008011472752. Its totient is φ = 240473502720000.

The previous prime is 241240510012003. The next prime is 241240510012027. The reversal of 241240510012013 is 310210015042142.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 75077644009 + 241165432368004 = 274003^2 + 15529502^2 .

It is a cyclic number.

It is not a de Polignac number, because 241240510012013 - 216 = 241240509946477 is a prime.

It is a super-2 number, since 2×2412405100120132 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241240510012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20442372713 + ... + 20442384513.

It is an arithmetic number, because the mean of its divisors is an integer number (15125500717047).

Almost surely, 2241240510012013 is an apocalyptic number.

It is an amenable number.

241240510012013 is a deficient number, since it is larger than the sum of its proper divisors (767501460739).

241240510012013 is a wasteful number, since it uses less digits than its factorization.

241240510012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27376.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 241240510012013 its reverse (310210015042142), we get a palindrome (551450525054155).

The spelling of 241240510012013 in words is "two hundred forty-one trillion, two hundred forty billion, five hundred ten million, twelve thousand, thirteen".

Divisors: 1 353 7481 7741 11801 2640793 2732573 4165753 57910421 88283281 91351541 20442378613 31163998193 32247093973 683400878221 241240510012013