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113211310433 = 1317539665441
BaseRepresentation
bin110100101101111101…
…0111000000101100001
3101211012220001110010112
41221123322320011201
53323324043413213
6124001503141105
711115324155354
oct1513372700541
9354186043115
10113211310433
1144015919181
1219b362a4795
13a8a28c88b0
14569d8b429b
152e28ecbea8
hex1a5beb8161

113211310433 has 16 divisors (see below), whose sum is σ = 131527334736. Its totient is φ = 96499752960.

The previous prime is 113211310411. The next prime is 113211310483. The reversal of 113211310433 is 334013112311.

It can be written as a sum of positive squares in 8 ways, for example, as 17428488289 + 95782822144 = 132017^2 + 309488^2 .

It is not a de Polignac number, because 113211310433 - 26 = 113211310369 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113211310399 and 113211310408.

It is not an unprimeable number, because it can be changed into a prime (113211310403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4821008 + ... + 4844433.

It is an arithmetic number, because the mean of its divisors is an integer number (8220458421).

Almost surely, 2113211310433 is an apocalyptic number.

113211310433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

113211310433 is a deficient number, since it is larger than the sum of its proper divisors (18316024303).

113211310433 is a wasteful number, since it uses less digits than its factorization.

113211310433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9665524.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 113211310433 its reverse (334013112311), we get a palindrome (447224422744).

The spelling of 113211310433 in words is "one hundred thirteen billion, two hundred eleven million, three hundred ten thousand, four hundred thirty-three".

Divisors: 1 13 17 53 221 689 901 11713 9665441 125650733 164312497 512268373 2136062461 6659488849 8708562341 113211310433