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2199953434181 is a prime number
BaseRepresentation
bin100000000000110111011…
…100010110011001000101
321210022110112111202011112
4200000313130112121011
5242021001034343211
64402351125014405
7314640616436456
oct40006734263105
97708415452145
102199953434181
11778aa43a7438
122b6447b54405
1312c5bb02b2b9
147869a6cd12d
153c35c30488b
hex20037716645

2199953434181 has 2 divisors, whose sum is σ = 2199953434182. Its totient is φ = 2199953434180.

The previous prime is 2199953434157. The next prime is 2199953434187. The reversal of 2199953434181 is 1814343599912.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1255820561956 + 944132872225 = 1120634^2 + 971665^2 .

It is a cyclic number.

It is not a de Polignac number, because 2199953434181 - 26 = 2199953434117 is a prime.

It is a super-2 number, since 2×21999534341812 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2199953434181.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2199953434187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1099976717090 + 1099976717091.

It is an arithmetic number, because the mean of its divisors is an integer number (1099976717091).

Almost surely, 22199953434181 is an apocalyptic number.

It is an amenable number.

2199953434181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2199953434181 is an equidigital number, since it uses as much as digits as its factorization.

2199953434181 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8398080, while the sum is 59.

The spelling of 2199953434181 in words is "two trillion, one hundred ninety-nine billion, nine hundred fifty-three million, four hundred thirty-four thousand, one hundred eighty-one".