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101134222133 = 727926126123
BaseRepresentation
bin101111000110000010…
…0011100001100110101
3100200001012212210111212
41132030010130030311
53124110330102013
6114243241211205
710210125463400
oct1361404341465
9320035783455
10101134222133
11399886a4a6a
1217725790b05
1396c97b30b9
144c7594ad37
15296dad06a8
hex178c11c335

101134222133 has 12 divisors (see below), whose sum is σ = 119135125440. Its totient is φ = 85589175672.

The previous prime is 101134222103. The next prime is 101134222151. The reversal of 101134222133 is 331222431101.

It is not a de Polignac number, because 101134222133 - 216 = 101134156597 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101134222099 and 101134222108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101134222103) 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, 13059191 + ... + 13066932.

It is an arithmetic number, because the mean of its divisors is an integer number (9927927120).

Almost surely, 2101134222133 is an apocalyptic number.

It is an amenable number.

101134222133 is a deficient number, since it is larger than the sum of its proper divisors (18000903307).

101134222133 is an equidigital number, since it uses as much as digits as its factorization.

101134222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26126216 (or 26126209 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 101134222133 its reverse (331222431101), we get a palindrome (432356653234).

The spelling of 101134222133 in words is "one hundred one billion, one hundred thirty-four million, two hundred twenty-two thousand, one hundred thirty-three".

Divisors: 1 7 49 79 553 3871 26126123 182882861 1280180027 2063963717 14447746019 101134222133