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2235205213037 is a prime number
BaseRepresentation
bin100000100001101100100…
…111001101101101101101
321220200110021221122202122
4200201230213031231231
5243110200013304122
64430501125002325
7320326316554106
oct40415447155555
97820407848678
102235205213037
11791a44086675
123012458533a5
13132a18468244
147a2824193ad
153d22201b142
hex2086c9cdb6d

2235205213037 has 2 divisors, whose sum is σ = 2235205213038. Its totient is φ = 2235205213036.

The previous prime is 2235205212991. The next prime is 2235205213057. The reversal of 2235205213037 is 7303125025322.

2235205213037 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2101438733956 + 133766479081 = 1449634^2 + 365741^2 .

It is a cyclic number.

It is not a de Polignac number, because 2235205213037 - 220 = 2235204164461 is a prime.

It is a super-2 number, since 2×22352052130372 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2235205212988 and 2235205213006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2235205213057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1117602606518 + 1117602606519.

It is an arithmetic number, because the mean of its divisors is an integer number (1117602606519).

Almost surely, 22235205213037 is an apocalyptic number.

It is an amenable number.

2235205213037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2235205213037 is an equidigital number, since it uses as much as digits as its factorization.

2235205213037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 35.

The spelling of 2235205213037 in words is "two trillion, two hundred thirty-five billion, two hundred five million, two hundred thirteen thousand, thirty-seven".