Search a number
-
+
106601325641 is a prime number
BaseRepresentation
bin110001101000111101…
…1110010010001001001
3101012011020012102121222
41203101323302101021
53221304414410031
6120545540211425
710462452213566
oct1432173622111
9335136172558
10106601325641
114123373a828
12187b0699b75
13a08b3495a5
145233a7d86d
152b8da52e7b
hex18d1ef2449

106601325641 has 2 divisors, whose sum is σ = 106601325642. Its totient is φ = 106601325640.

The previous prime is 106601325601. The next prime is 106601325661. The reversal of 106601325641 is 146523106601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66832590400 + 39768735241 = 258520^2 + 199421^2 .

It is a cyclic number.

It is not a de Polignac number, because 106601325641 - 214 = 106601309257 is a prime.

It is a super-2 number, since 2×1066013256412 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106601325601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53300662820 + 53300662821.

It is an arithmetic number, because the mean of its divisors is an integer number (53300662821).

Almost surely, 2106601325641 is an apocalyptic number.

It is an amenable number.

106601325641 is a deficient number, since it is larger than the sum of its proper divisors (1).

106601325641 is an equidigital number, since it uses as much as digits as its factorization.

106601325641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 106601325641 in words is "one hundred six billion, six hundred one million, three hundred twenty-five thousand, six hundred forty-one".