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2220000132013 is a prime number
BaseRepresentation
bin100000010011100010010…
…100011011101110101101
321212020012121220111210121
4200103202110123232231
5242333030013211023
64415504243204541
7316250446525606
oct40234224335655
97766177814717
102220000132013
11786551221204
122ba301676751
131314642a6291
147963cc8cdad
153cb321e6d5d
hex204e251bbad

2220000132013 has 2 divisors, whose sum is σ = 2220000132014. Its totient is φ = 2220000132012.

The previous prime is 2220000131989. The next prime is 2220000132019. The reversal of 2220000132013 is 3102310000222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2200291622244 + 19708509769 = 1483338^2 + 140387^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220000132013 - 213 = 2220000123821 is a prime.

It is a super-2 number, since 2×22200001320132 (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 (2220000132019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110000066006 + 1110000066007.

It is an arithmetic number, because the mean of its divisors is an integer number (1110000066007).

Almost surely, 22220000132013 is an apocalyptic number.

It is an amenable number.

2220000132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220000132013 is an equidigital number, since it uses as much as digits as its factorization.

2220000132013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2220000132013 its reverse (3102310000222), we get a palindrome (5322310132235).

The spelling of 2220000132013 in words is "two trillion, two hundred twenty billion, one hundred thirty-two thousand, thirteen".