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1830719812541 is a prime number
BaseRepresentation
bin11010101000111111011…
…001110111001110111101
320111000102000022100000112
4122220333121313032331
5214443303233000131
63521004315035405
7246156641436524
oct32507731671675
96430360270015
101830719812541
11646449675514
1225698043bb65
13103836795689
146487066b4bb
153294b96a02b
hex1aa3f6773bd

1830719812541 has 2 divisors, whose sum is σ = 1830719812542. Its totient is φ = 1830719812540.

The previous prime is 1830719812511. The next prime is 1830719812553. The reversal of 1830719812541 is 1452189170381.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1787424606916 + 43295205625 = 1336946^2 + 208075^2 .

It is a cyclic number.

It is not a de Polignac number, because 1830719812541 - 26 = 1830719812477 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1830719812541.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1830719812511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 915359906270 + 915359906271.

It is an arithmetic number, because the mean of its divisors is an integer number (915359906271).

Almost surely, 21830719812541 is an apocalyptic number.

It is an amenable number.

1830719812541 is a deficient number, since it is larger than the sum of its proper divisors (1).

1830719812541 is an equidigital number, since it uses as much as digits as its factorization.

1830719812541 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 483840, while the sum is 50.

The spelling of 1830719812541 in words is "one trillion, eight hundred thirty billion, seven hundred nineteen million, eight hundred twelve thousand, five hundred forty-one".