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101153231105 = 5173121238333
BaseRepresentation
bin101111000110100110…
…0111101000100000001
3100200002112122112220212
41132031030331010001
53124130211343410
6114245200443505
710210446164213
oct1361514750401
9320075575825
10101153231105
11399983a8763
1217730019595
13970070a404
144c782985b3
1529705d7b05
hex178d33d101

101153231105 has 24 divisors (see below), whose sum is σ = 132803891496. Its totient is φ = 73705520640.

The previous prime is 101153231077. The next prime is 101153231131. The reversal of 101153231105 is 501132351101.

It can be written as a sum of positive squares in 4 ways, for example, as 16383744001 + 84769487104 = 127999^2 + 291152^2 .

It is not a de Polignac number, because 101153231105 - 224 = 101136453889 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 537482 + ... + 700851.

It is an arithmetic number, because the mean of its divisors is an integer number (5533495479).

Almost surely, 2101153231105 is an apocalyptic number.

It is an amenable number.

101153231105 is a deficient number, since it is larger than the sum of its proper divisors (31650660391).

101153231105 is a wasteful number, since it uses less digits than its factorization.

101153231105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238417 (or 1238386 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 101153231105 its reverse (501132351101), we get a palindrome (602285582206).

The spelling of 101153231105 in words is "one hundred one billion, one hundred fifty-three million, two hundred thirty-one thousand, one hundred five".

Divisors: 1 5 17 31 85 155 527 961 2635 4805 16337 81685 1238333 6191665 21051661 38388323 105258305 191941615 652601491 1190038013 3263007455 5950190065 20230646221 101153231105