Search a number
-
+
2270842711201 is a prime number
BaseRepresentation
bin100001000010111000110…
…001011110110010100001
322001002102221012010210001
4201002320301132302201
5244201141213224301
64455113304140001
7323030412364501
oct41027061366241
98032387163701
102270842711201
117a6071567499
12308130767601
131361a778666c
147bca346da01
153e10aa24c01
hex210b8c5eca1

2270842711201 has 2 divisors, whose sum is σ = 2270842711202. Its totient is φ = 2270842711200.

The previous prime is 2270842711199. The next prime is 2270842711219. The reversal of 2270842711201 is 1021172480722.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2258693381025 + 12149330176 = 1502895^2 + 110224^2 .

It is a cyclic number.

It is not a de Polignac number, because 2270842711201 - 21 = 2270842711199 is a prime.

Together with 2270842711199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2270842711601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1135421355600 + 1135421355601.

It is an arithmetic number, because the mean of its divisors is an integer number (1135421355601).

Almost surely, 22270842711201 is an apocalyptic number.

It is an amenable number.

2270842711201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2270842711201 is an equidigital number, since it uses as much as digits as its factorization.

2270842711201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25088, while the sum is 37.

The spelling of 2270842711201 in words is "two trillion, two hundred seventy billion, eight hundred forty-two million, seven hundred eleven thousand, two hundred one".