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242211400011 = 3371281541799
BaseRepresentation
bin1110000110010011101…
…1001010100101001011
3212011012010110222112000
43201210323022211023
512432022104300021
6303134222522043
723333136634110
oct3414473124513
9764163428460
10242211400011
11937a3025859
123ab38136323
1319ac0594c49
14ba1a256907
15647917ab26
hex3864eca94b

242211400011 has 16 divisors (see below), whose sum is σ = 410093376000. Its totient is φ = 138406514184.

The previous prime is 242211400009. The next prime is 242211400033. The reversal of 242211400011 is 110004112242.

242211400011 is a `hidden beast` number, since 2 + 42 + 211 + 400 + 0 + 11 = 666.

242211400011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242211400011 - 21 = 242211400009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242211400061) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 640770711 + ... + 640771088.

It is an arithmetic number, because the mean of its divisors is an integer number (25630836000).

Almost surely, 2242211400011 is an apocalyptic number.

242211400011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242211400011 is a deficient number, since it is larger than the sum of its proper divisors (167881975989).

242211400011 is a wasteful number, since it uses less digits than its factorization.

242211400011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281541815 (or 1281541809 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 242211400011 its reverse (110004112242), we get a palindrome (352215512253).

The spelling of 242211400011 in words is "two hundred forty-two billion, two hundred eleven million, four hundred thousand, eleven".

Divisors: 1 3 7 9 21 27 63 189 1281541799 3844625397 8970792593 11533876191 26912377779 34601628573 80737133337 242211400011