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142224422121 = 32231635637487
BaseRepresentation
bin1000010001110100111…
…1000111010011101001
3111121002212100020020200
42010131033013103221
54312233423001441
6145200442542413
713163311432665
oct2043517072351
9447085306220
10142224422121
1155353a84431
1223692807a09
13105476947c2
146c52c258a5
153a761647b6
hex211d3c74e9

142224422121 has 48 divisors (see below), whose sum is σ = 216094334976. Its totient is φ = 89965310688.

The previous prime is 142224422113. The next prime is 142224422129. The reversal of 142224422121 is 121224422241.

142224422121 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 2 + 442 + 212 + 1 = 666.

142224422121 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 (142224422113) and next prime (142224422129).

It is not a de Polignac number, because 142224422121 - 23 = 142224422113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142224422129) 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 47 ways as a sum of consecutive naturals, for example, 18992440 + ... + 18999926.

It is an arithmetic number, because the mean of its divisors is an integer number (4501965312).

Almost surely, 2142224422121 is an apocalyptic number.

It is an amenable number.

142224422121 is a deficient number, since it is larger than the sum of its proper divisors (73869912855).

142224422121 is a wasteful number, since it uses less digits than its factorization.

142224422121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8242 (or 8239 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 142224422121 its reverse (121224422241), we get a palindrome (263448844362).

The spelling of 142224422121 in words is "one hundred forty-two billion, two hundred twenty-four million, four hundred twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 23 69 163 207 489 563 1467 1689 3749 5067 7487 11247 12949 22461 33741 38847 67383 91769 116541 172201 275307 516603 825921 1220381 1549809 2110687 3661143 4215181 6332061 10983429 12645543 18996183 28068763 37936629 84206289 96949163 252618867 290847489 687074503 872542467 2061223509 6183670527 15802713569 47408140707 142224422121