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2133141302213 = 101257337243857
BaseRepresentation
bin11111000010101001001…
…000010010101111000101
321112221000021200210010022
4133002221020102233011
5234422133133132323
64311541313104525
7310054141620635
oct37025110225705
97487007623108
102133141302213
11752729721849
122a5500858145
131262011953bc
147535d2246c5
153a74b9e74c8
hex1f0a9212bc5

2133141302213 has 16 divisors (see below), whose sum is σ = 2169070089264. Its totient is φ = 2097551769600.

The previous prime is 2133141302143. The next prime is 2133141302233. The reversal of 2133141302213 is 3122031413312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 577139531809 + 1556001770404 = 759697^2 + 1247398^2 .

It is a cyclic number.

It is not a de Polignac number, because 2133141302213 - 212 = 2133141298117 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 (2133141302233) 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, 8625581 + ... + 8869437.

It is an arithmetic number, because the mean of its divisors is an integer number (135566880579).

Almost surely, 22133141302213 is an apocalyptic number.

It is an amenable number.

2133141302213 is a deficient number, since it is larger than the sum of its proper divisors (35928787051).

2133141302213 is a wasteful number, since it uses less digits than its factorization.

2133141302213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244552.

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

Adding to 2133141302213 its reverse (3122031413312), we get a palindrome (5255172715525).

The spelling of 2133141302213 in words is "two trillion, one hundred thirty-three billion, one hundred forty-one million, three hundred two thousand, two hundred thirteen".

Divisors: 1 101 257 337 25957 34037 86609 243857 8747509 24629557 62671249 82179809 6329796149 8300160709 21120210913 2133141302213