Search a number
-
+
210137914169 is a prime number
BaseRepresentation
bin1100001110110100110…
…0100001101100111001
3202002101212120002021222
43003231030201230321
511420330301223134
6240311440441425
721116261541041
oct3035514415471
9662355502258
10210137914169
1181134413167
1234886919275
1316a7b766461
14a2566a4721
1556ed4c5a2e
hex30ed321b39

210137914169 has 2 divisors, whose sum is σ = 210137914170. Its totient is φ = 210137914168.

The previous prime is 210137914109. The next prime is 210137914187. The reversal of 210137914169 is 961419731012.

It is a happy number.

210137914169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121810074169 + 88327840000 = 349013^2 + 297200^2 .

It is a cyclic number.

It is not a de Polignac number, because 210137914169 - 216 = 210137848633 is a prime.

It is a super-2 number, since 2×2101379141692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (210137914109) 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, 105068957084 + 105068957085.

It is an arithmetic number, because the mean of its divisors is an integer number (105068957085).

Almost surely, 2210137914169 is an apocalyptic number.

It is an amenable number.

210137914169 is a deficient number, since it is larger than the sum of its proper divisors (1).

210137914169 is an equidigital number, since it uses as much as digits as its factorization.

210137914169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 44.

The spelling of 210137914169 in words is "two hundred ten billion, one hundred thirty-seven million, nine hundred fourteen thousand, one hundred sixty-nine".