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241253340105231 = 324710729318192047
BaseRepresentation
bin110110110110101100101011…
…101000110100101000001111
31011122012121001002002021111100
4312312230223220310220033
5223110143320031331411
62213034130541554143
7101546656445446266
oct6666545350645017
91148177032067440
10241253340105231
116a963a70034003
122308461b575953
13a480127b95a8c
144380a1c7b35dd
151cd58466b2456
hexdb6b2ba34a0f

241253340105231 has 48 divisors (see below), whose sum is σ = 360443558651904. Its totient is φ = 155410137350592.

The previous prime is 241253340105229. The next prime is 241253340105247. The reversal of 241253340105231 is 132501043352142.

241253340105231 is a `hidden beast` number, since 2 + 4 + 1 + 2 + 533 + 40 + 1 + 0 + 52 + 31 = 666.

It is not a de Polignac number, because 241253340105231 - 21 = 241253340105229 is a prime.

It is a super-2 number, since 2×2412533401052312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241253340103231) 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, 4165450 + ... + 22357496.

It is an arithmetic number, because the mean of its divisors is an integer number (7509240805248).

Almost surely, 2241253340105231 is an apocalyptic number.

241253340105231 is a deficient number, since it is larger than the sum of its proper divisors (119190218546673).

241253340105231 is a wasteful number, since it uses less digits than its factorization.

241253340105231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18192500 (or 18192497 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 241253340105231 its reverse (132501043352142), we get a palindrome (373754383457373).

The spelling of 241253340105231 in words is "two hundred forty-one trillion, two hundred fifty-three billion, three hundred forty million, one hundred five thousand, two hundred thirty-one".

Divisors: 1 3 9 47 107 141 293 321 423 879 963 2637 5029 13771 15087 31351 41313 45261 94053 123939 282159 1473497 4420491 13261473 18192047 54576141 163728423 855026209 1946549029 2565078627 5330269771 5839647087 7695235881 15990809313 17518941261 47972427939 91487804363 250522679237 274463413089 570338865497 751568037711 823390239267 1711016596491 2254704113133 5133049789473 26805926678359 80417780035077 241253340105231