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2253105201397 is a prime number
BaseRepresentation
bin100000110010010111100…
…010010000000011110101
321222101122202221021121111
4200302113202100003311
5243403324412421042
64443021235515021
7321532022135101
oct40622742200365
97871582837544
102253105201397
1179959a169886
12304800458a71
1313460ba4c92b
147b09d850901
153d91d71b517
hex20c978900f5

2253105201397 has 2 divisors, whose sum is σ = 2253105201398. Its totient is φ = 2253105201396.

The previous prime is 2253105201371. The next prime is 2253105201409. The reversal of 2253105201397 is 7931025013522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1726908746161 + 526196455236 = 1314119^2 + 725394^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2253105201397 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2253105201337) 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 as a sum of consecutive naturals, namely, 1126552600698 + 1126552600699.

It is an arithmetic number, because the mean of its divisors is an integer number (1126552600699).

Almost surely, 22253105201397 is an apocalyptic number.

It is an amenable number.

2253105201397 is a deficient number, since it is larger than the sum of its proper divisors (1).

2253105201397 is an equidigital number, since it uses as much as digits as its factorization.

2253105201397 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 2253105201397 in words is "two trillion, two hundred fifty-three billion, one hundred five million, two hundred one thousand, three hundred ninety-seven".