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133314102413 = 3773191325801
BaseRepresentation
bin111110000101000100…
…0111100010010001101
3110202002220000002110122
41330022020330102031
54141011402234123
6141124343514325
712426435113342
oct1741210742215
9422086002418
10133314102413
11515a1376348
1221a067589a5
13c757683a8b
1466496b67c9
153703c9ebc8
hex1f0a23c48d

133314102413 has 16 divisors (see below), whose sum is σ = 138870698736. Its totient is φ = 127862323200.

The previous prime is 133314102403. The next prime is 133314102421. The reversal of 133314102413 is 314201413331.

It can be written as a sum of positive squares in 8 ways, for example, as 28440461449 + 104873640964 = 168643^2 + 323842^2 .

It is a cyclic number.

It is not a de Polignac number, because 133314102413 - 214 = 133314086029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133314102403) 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 15 ways as a sum of consecutive naturals, for example, 5154113 + ... + 5179913.

It is an arithmetic number, because the mean of its divisors is an integer number (8679418671).

Almost surely, 2133314102413 is an apocalyptic number.

It is an amenable number.

133314102413 is a deficient number, since it is larger than the sum of its proper divisors (5556596323).

133314102413 is a wasteful number, since it uses less digits than its factorization.

133314102413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27824.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 133314102413 its reverse (314201413331), we get a palindrome (447515515744).

The spelling of 133314102413 in words is "one hundred thirty-three billion, three hundred fourteen million, one hundred two thousand, four hundred thirteen".

Divisors: 1 37 73 1913 2701 25801 70781 139649 954637 1883473 5167013 49357313 69688501 1826220581 3603083849 133314102413