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142120121013 = 32131214701889
BaseRepresentation
bin1000010001011100000…
…1001111001010110101
3111120211121002012000200
42010113001033022311
54312030222333023
6145142235231113
713160604045063
oct2042701171265
9446747065020
10142120121013
1155300115472
12236638a8499
131052bba6380
146c43035033
153a6be10743
hex211704f2b5

142120121013 has 12 divisors (see below), whose sum is σ = 221075743980. Its totient is φ = 87458535936.

The previous prime is 142120120979. The next prime is 142120121051. The reversal of 142120121013 is 310121021241.

142120121013 is a `hidden beast` number, since 1 + 421 + 20 + 1 + 210 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46204792209 + 95915328804 = 214953^2 + 309702^2 .

It is not a de Polignac number, because 142120121013 - 26 = 142120120949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142120121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607350828 + ... + 607351061.

It is an arithmetic number, because the mean of its divisors is an integer number (18422978665).

Almost surely, 2142120121013 is an apocalyptic number.

142120121013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

142120121013 is a deficient number, since it is larger than the sum of its proper divisors (78955622967).

142120121013 is a wasteful number, since it uses less digits than its factorization.

142120121013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214701908 (or 1214701905 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 142120121013 its reverse (310121021241), we get a palindrome (452241142254).

The spelling of 142120121013 in words is "one hundred forty-two billion, one hundred twenty million, one hundred twenty-one thousand, thirteen".

Divisors: 1 3 9 13 39 117 1214701889 3644105667 10932317001 15791124557 47373373671 142120121013