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2005337103437 is a prime number
BaseRepresentation
bin11101001011100111011…
…001111101110001001101
321002201010101112210111202
4131023213121331301031
5230323412244302222
64133123353355245
7264611060064263
oct35134731756115
97081111483452
102005337103437
11703505574678
12284793408b25
131171441b2045
146d0b7622433
153726b821892
hex1d2e767dc4d

2005337103437 has 2 divisors, whose sum is σ = 2005337103438. Its totient is φ = 2005337103436.

The previous prime is 2005337103431. The next prime is 2005337103493. The reversal of 2005337103437 is 7343017335002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1706187176521 + 299149926916 = 1306211^2 + 546946^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005337103437 - 224 = 2005320326221 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2005337103437.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2005337103431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002668551718 + 1002668551719.

It is an arithmetic number, because the mean of its divisors is an integer number (1002668551719).

Almost surely, 22005337103437 is an apocalyptic number.

It is an amenable number.

2005337103437 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005337103437 is an equidigital number, since it uses as much as digits as its factorization.

2005337103437 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 158760, while the sum is 38.

The spelling of 2005337103437 in words is "two trillion, five billion, three hundred thirty-seven million, one hundred three thousand, four hundred thirty-seven".