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100110200093 is a prime number
BaseRepresentation
bin101110100111100001…
…0000110110100011101
3100120101212000002100122
41131033002012310131
53120011202400333
6113553501004325
710142552442401
oct1351702066435
9316355002318
10100110200093
1139502664062
121749a8536a5
1395955b4bb7
144bb9949101
15290dc56798
hex174f086d1d

100110200093 has 2 divisors, whose sum is σ = 100110200094. Its totient is φ = 100110200092.

The previous prime is 100110200059. The next prime is 100110200123. The reversal of 100110200093 is 390002011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82775317849 + 17334882244 = 287707^2 + 131662^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110200093 - 210 = 100110199069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110200033) 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, 50055100046 + 50055100047.

It is an arithmetic number, because the mean of its divisors is an integer number (50055100047).

Almost surely, 2100110200093 is an apocalyptic number.

It is an amenable number.

100110200093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110200093 is an equidigital number, since it uses as much as digits as its factorization.

100110200093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100110200093 its reverse (390002011001), we get a palindrome (490112211094).

The spelling of 100110200093 in words is "one hundred billion, one hundred ten million, two hundred thousand, ninety-three".