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242211400041 = 31367521177917
BaseRepresentation
bin1110000110010011101…
…1001010100101101001
3212011012010110222120010
43201210323022211221
512432022104300131
6303134222522133
723333136634152
oct3414473124551
9764163428503
10242211400041
11937a3025886
123ab38136349
1319ac0594c70
14ba1a256929
15647917ab46
hex3864eca969

242211400041 has 32 divisors (see below), whose sum is σ = 353661130368. Its totient is φ = 146545850880.

The previous prime is 242211400033. The next prime is 242211400049. The reversal of 242211400041 is 140004112242.

242211400041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242211400033) and next prime (242211400049).

It is not a de Polignac number, because 242211400041 - 23 = 242211400033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242211399990 and 242211400017.

It is not an unprimeable number, because it can be changed into a prime (242211400049) 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 31 ways as a sum of consecutive naturals, for example, 1272415 + ... + 1450331.

It is an arithmetic number, because the mean of its divisors is an integer number (11051910324).

Almost surely, 2242211400041 is an apocalyptic number.

It is an amenable number.

242211400041 is a deficient number, since it is larger than the sum of its proper divisors (111449730327).

242211400041 is a wasteful number, since it uses less digits than its factorization.

242211400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178521.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 242211400041 its reverse (140004112242), we get a palindrome (382215512283).

The spelling of 242211400041 in words is "two hundred forty-two billion, two hundred eleven million, four hundred thousand, forty-one".

Divisors: 1 3 13 39 67 201 521 871 1563 2613 6773 20319 34907 104721 177917 453791 533751 1361373 2312921 6938763 11920439 35761317 92694757 154965707 278084271 464897121 1205031841 3615095523 6210548719 18631646157 80737133347 242211400041