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241220401311311 = 7983155323688491
BaseRepresentation
bin110110110110001110000000…
…010101010010111001001111
31011122002110000111221011201222
4312312032000111102321033
5223104123340213430221
62213011042245153555
7101544412262354162
oct6666160025227117
91148073014834658
10241220401311311
116a950aa7a34674
122307a1683bb8bb
13a479ca89c9386
14437d1b5d35ad9
151cd4a69a849ab
hexdb6380552e4f

241220401311311 has 16 divisors (see below), whose sum is σ = 247376079336960. Its totient is φ = 235145975326080.

The previous prime is 241220401311293. The next prime is 241220401311313. The reversal of 241220401311311 is 113113104022142.

It is a happy number.

241220401311311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 241220401311311 - 26 = 241220401311247 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241220401311313) 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, 1661225 + ... + 22027266.

It is an arithmetic number, because the mean of its divisors is an integer number (15461004958560).

Almost surely, 2241220401311311 is an apocalyptic number.

241220401311311 is a deficient number, since it is larger than the sum of its proper divisors (6155678025649).

241220401311311 is a wasteful number, since it uses less digits than its factorization.

241220401311311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23690206.

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 241220401311311 its reverse (113113104022142), we get a palindrome (354333505333453).

The spelling of 241220401311311 in words is "two hundred forty-one trillion, two hundred twenty billion, four hundred one million, three hundred eleven thousand, three hundred eleven".

Divisors: 1 79 83 1553 6557 122687 128899 10183021 23688491 1871390789 1966144753 36788226523 155325435487 2906269895317 3053422801409 241220401311311