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2213102147677 is a prime number
BaseRepresentation
bin100000001101000111001…
…010101101100001011101
321211120101220010121012021
4200031013022231201131
5242224413122211202
64412403551340141
7315614506605241
oct40150712554135
97746356117167
102213102147677
11783631515503
122b8ab7521651
1313090516b445
1479186aca421
153c87b82ea37
hex203472ad85d

2213102147677 has 2 divisors, whose sum is σ = 2213102147678. Its totient is φ = 2213102147676.

The previous prime is 2213102147647. The next prime is 2213102147693. The reversal of 2213102147677 is 7767412013122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1817195665156 + 395906482521 = 1348034^2 + 629211^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213102147677 - 27 = 2213102147549 is a prime.

It is a super-2 number, since 2×22131021476772 (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 (2213102147617) 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, 1106551073838 + 1106551073839.

It is an arithmetic number, because the mean of its divisors is an integer number (1106551073839).

Almost surely, 22213102147677 is an apocalyptic number.

It is an amenable number.

2213102147677 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213102147677 is an equidigital number, since it uses as much as digits as its factorization.

2213102147677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 2213102147677 in words is "two trillion, two hundred thirteen billion, one hundred two million, one hundred forty-seven thousand, six hundred seventy-seven".