Search a number
-
+
213002210149 is a prime number
BaseRepresentation
bin1100011001011111101…
…0111100101101100101
3202100210111020101201021
43012113322330231211
511442212031211044
6241504000331141
721250251625141
oct3062772745545
9670714211637
10213002210149
1182374216123
1235346013ab1
1317116cb5b51
14a448c64221
155819bb0e84
hex3197ebcb65

213002210149 has 2 divisors, whose sum is σ = 213002210150. Its totient is φ = 213002210148.

The previous prime is 213002210119. The next prime is 213002210189. The reversal of 213002210149 is 941012200312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206223157924 + 6779052225 = 454118^2 + 82335^2 .

It is a cyclic number.

It is not a de Polignac number, because 213002210149 - 25 = 213002210117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213002210119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106501105074 + 106501105075.

It is an arithmetic number, because the mean of its divisors is an integer number (106501105075).

Almost surely, 2213002210149 is an apocalyptic number.

It is an amenable number.

213002210149 is a deficient number, since it is larger than the sum of its proper divisors (1).

213002210149 is an equidigital number, since it uses as much as digits as its factorization.

213002210149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 213002210149 in words is "two hundred thirteen billion, two million, two hundred ten thousand, one hundred forty-nine".