Search a number
-
+
21101300149 is a prime number
BaseRepresentation
bin10011101001101111…
…000100100110110101
32000110120211010001011
4103221233010212311
5321203413101044
613405510032221
71344624043336
oct235157044665
960416733034
1021101300149
118a49152136
12410a948671
131cb38c2327
14104268228d
158377ac134
hex4e9bc49b5

21101300149 has 2 divisors, whose sum is σ = 21101300150. Its totient is φ = 21101300148.

The previous prime is 21101300111. The next prime is 21101300179. The reversal of 21101300149 is 94100310112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17830260900 + 3271039249 = 133530^2 + 57193^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21101300149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21101300179) 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, 10550650074 + 10550650075.

It is an arithmetic number, because the mean of its divisors is an integer number (10550650075).

Almost surely, 221101300149 is an apocalyptic number.

It is an amenable number.

21101300149 is a deficient number, since it is larger than the sum of its proper divisors (1).

21101300149 is an equidigital number, since it uses as much as digits as its factorization.

21101300149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 21101300149 in words is "twenty-one billion, one hundred one million, three hundred thousand, one hundred forty-nine".