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101113132133 = 132598302557
BaseRepresentation
bin101111000101011001…
…1111111010001100101
3100122222202012022110202
41132022303333101211
53124034430212013
6114241205200245
710206451304456
oct1361263772145
9318882168422
10101113132133
11399777aa812
121771a700085
1396c530a800
144c72c1b12d
15296bd16858
hex178acff465

101113132133 has 6 divisors (see below), whose sum is σ = 109489368114. Its totient is φ = 93335198736.

The previous prime is 101113132129. The next prime is 101113132163. The reversal of 101113132133 is 331231311101.

It can be written as a sum of positive squares in 3 ways, for example, as 1056055009 + 100057077124 = 32497^2 + 316318^2 .

It is not a de Polignac number, because 101113132133 - 22 = 101113132129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113132103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 299151110 + ... + 299151447.

It is an arithmetic number, because the mean of its divisors is an integer number (18248228019).

Almost surely, 2101113132133 is an apocalyptic number.

101113132133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101113132133 is a deficient number, since it is larger than the sum of its proper divisors (8376235981).

101113132133 is an equidigital number, since it uses as much as digits as its factorization.

101113132133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598302583 (or 598302570 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 101113132133 its reverse (331231311101), we get a palindrome (432344443234).

The spelling of 101113132133 in words is "one hundred one billion, one hundred thirteen million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 13 169 598302557 7777933241 101113132133