Search a number
-
+
2001156256213 is a prime number
BaseRepresentation
bin11101000111101110001…
…101010011000111010101
321002022100000112202022021
4131013232031103013111
5230241332000144323
64131152443333141
7264402342343312
oct35075615230725
97068300482267
102001156256213
1170175a59a234
12283a072211b1
13116928c80c4a
146cbdc273d09
15370c477705d
hex1d1ee3531d5

2001156256213 has 2 divisors, whose sum is σ = 2001156256214. Its totient is φ = 2001156256212.

The previous prime is 2001156256201. The next prime is 2001156256223. The reversal of 2001156256213 is 3126526511002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1042681969924 + 958474286289 = 1021118^2 + 979017^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001156256213 - 217 = 2001156125141 is a prime.

It is a super-2 number, since 2×20011562562132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001156256223) 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, 1000578128106 + 1000578128107.

It is an arithmetic number, because the mean of its divisors is an integer number (1000578128107).

Almost surely, 22001156256213 is an apocalyptic number.

It is an amenable number.

2001156256213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001156256213 is an equidigital number, since it uses as much as digits as its factorization.

2001156256213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 2001156256213 in words is "two trillion, one billion, one hundred fifty-six million, two hundred fifty-six thousand, two hundred thirteen".