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20010100093 is a prime number
BaseRepresentation
bin10010101000101100…
…011110010101111101
31220122112112101222021
4102220230132111331
5311440041200333
613105325520141
71305604021144
oct225054362575
956575471867
1020010100093
1185391a8405
123a65413051
131b6b802c19
14d7b79475b
157c1ab382d
hex4a8b1e57d

20010100093 has 2 divisors, whose sum is σ = 20010100094. Its totient is φ = 20010100092.

The previous prime is 20010100081. The next prime is 20010100111. The reversal of 20010100093 is 39000101002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16431906969 + 3578193124 = 128187^2 + 59818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20010100093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20010100013) 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, 10005050046 + 10005050047.

It is an arithmetic number, because the mean of its divisors is an integer number (10005050047).

Almost surely, 220010100093 is an apocalyptic number.

It is an amenable number.

20010100093 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010100093 is an equidigital number, since it uses as much as digits as its factorization.

20010100093 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 16.

Adding to 20010100093 its reverse (39000101002), we get a palindrome (59010201095).

The spelling of 20010100093 in words is "twenty billion, ten million, one hundred thousand, ninety-three".