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2273352201553 is a prime number
BaseRepresentation
bin100001000101001110010…
…110011011010101010001
322001022220211020110101011
4201011032112123111101
5244221311130422203
64500210311210521
7323146533611056
oct41051626332521
98038824213334
102273352201553
117a713a062764
12308711076a41
131364b76596b4
147c06087102d
153e205ec776d
hex2114e59b551

2273352201553 has 2 divisors, whose sum is σ = 2273352201554. Its totient is φ = 2273352201552.

The previous prime is 2273352201551. The next prime is 2273352201559. The reversal of 2273352201553 is 3551022533722.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2270964608784 + 2387592769 = 1506972^2 + 48863^2 .

It is a cyclic number.

It is not a de Polignac number, because 2273352201553 - 21 = 2273352201551 is a prime.

It is a super-2 number, since 2×22733522015532 (a number of 26 digits) contains 22 as substring.

Together with 2273352201551, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2273352201551) 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 as a sum of consecutive naturals, namely, 1136676100776 + 1136676100777.

It is an arithmetic number, because the mean of its divisors is an integer number (1136676100777).

Almost surely, 22273352201553 is an apocalyptic number.

It is an amenable number.

2273352201553 is a deficient number, since it is larger than the sum of its proper divisors (1).

2273352201553 is an equidigital number, since it uses as much as digits as its factorization.

2273352201553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 2273352201553 in words is "two trillion, two hundred seventy-three billion, three hundred fifty-two million, two hundred one thousand, five hundred fifty-three".