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101142243041 = 724348002963
BaseRepresentation
bin101111000110010001…
…1000010011011100001
3100200001202222022010112
41132030203002123201
53124114403234131
6114244125141105
710210253611100
oct1361443023341
9320052868115
10101142243041
1139992183214
12177283ba795
1396cb360bb8
144c76a38037
15296e66702b
hex178c8c26e1

101142243041 has 12 divisors (see below), whose sum is σ = 120391433712. Its totient is φ = 84677224968.

The previous prime is 101142243001. The next prime is 101142243043. The reversal of 101142243041 is 140342241101.

It is a de Polignac number, because none of the positive numbers 2k-101142243041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101142242998 and 101142243016.

It is not an unprimeable number, because it can be changed into a prime (101142243043) 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, 23999375 + ... + 24003588.

It is an arithmetic number, because the mean of its divisors is an integer number (10032619476).

Almost surely, 2101142243041 is an apocalyptic number.

It is an amenable number.

101142243041 is a deficient number, since it is larger than the sum of its proper divisors (19249190671).

101142243041 is an equidigital number, since it uses as much as digits as its factorization.

101142243041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48003020 (or 48003013 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101142243041 its reverse (140342241101), we get a palindrome (241484484142).

The spelling of 101142243041 in words is "one hundred one billion, one hundred forty-two million, two hundred forty-three thousand, forty-one".

Divisors: 1 7 43 49 301 2107 48002963 336020741 2064127409 2352145187 14448891863 101142243041