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2253535330301 is a prime number
BaseRepresentation
bin100000110010110001001…
…011000011111111111101
321222102202202022002112122
4200302301023003333331
5243410220021032201
64443132043012325
7321545464153163
oct40626113037775
97872682262478
102253535330301
1179979aa43012
1230490050a0a5
13134679baca88
147b100a19233
153d946381e1b
hex20cb12c3ffd

2253535330301 has 2 divisors, whose sum is σ = 2253535330302. Its totient is φ = 2253535330300.

The previous prime is 2253535330289. The next prime is 2253535330313. The reversal of 2253535330301 is 1030335353522.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2253535330289) and next prime (2253535330313).

It can be written as a sum of positive squares in only one way, i.e., 2237791605625 + 15743724676 = 1495925^2 + 125474^2 .

It is a cyclic number.

It is not a de Polignac number, because 2253535330301 - 26 = 2253535330237 is a prime.

It is a super-3 number, since 3×22535353303013 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2253535339301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1126767665150 + 1126767665151.

It is an arithmetic number, because the mean of its divisors is an integer number (1126767665151).

Almost surely, 22253535330301 is an apocalyptic number.

It is an amenable number.

2253535330301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253535330301 is an equidigital number, since it uses as much as digits as its factorization.

2253535330301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 121500, while the sum is 35.

The spelling of 2253535330301 in words is "two trillion, two hundred fifty-three billion, five hundred thirty-five million, three hundred thirty thousand, three hundred one".