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990413204101 is a prime number
BaseRepresentation
bin11100110100110010011…
…10100010101010000101
310111200102121011201211021
432122121032202222011
5112211331240012401
62034553424111141
7131361235221526
oct16323116425205
93450377151737
10990413204101
11352039485282
1213bb474654b1
137251b093a49
1435d1712484d
151ab69cc92a1
hexe6993a2a85

990413204101 has 2 divisors, whose sum is σ = 990413204102. Its totient is φ = 990413204100.

The previous prime is 990413204093. The next prime is 990413204119. The reversal of 990413204101 is 101402314099.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 775502151876 + 214911052225 = 880626^2 + 463585^2 .

It is an emirp because it is prime and its reverse (101402314099) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 990413204101 - 23 = 990413204093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (990413204141) 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, 495206602050 + 495206602051.

It is an arithmetic number, because the mean of its divisors is an integer number (495206602051).

Almost surely, 2990413204101 is an apocalyptic number.

It is an amenable number.

990413204101 is a deficient number, since it is larger than the sum of its proper divisors (1).

990413204101 is an equidigital number, since it uses as much as digits as its factorization.

990413204101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 990413204101 in words is "nine hundred ninety billion, four hundred thirteen million, two hundred four thousand, one hundred one".