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1002214181 is a prime number
BaseRepresentation
bin111011101111001…
…001001100100101
32120211211202101202
4323233021030211
54023031323211
6243240532245
733556452143
oct7357111445
92524752352
101002214181
114747a6391
1223b781085
1312c833c57
1497166593
155cebc53b
hex3bbc9325

1002214181 has 2 divisors, whose sum is σ = 1002214182. Its totient is φ = 1002214180.

The previous prime is 1002214123. The next prime is 1002214183. The reversal of 1002214181 is 1814122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 580569025 + 421645156 = 24095^2 + 20534^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002214181 is a prime.

It is a super-2 number, since 2×10022141812 = 2008866529195001522, which contains 22 as substring.

Together with 1002214183, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002214183) 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, 501107090 + 501107091.

It is an arithmetic number, because the mean of its divisors is an integer number (501107091).

Almost surely, 21002214181 is an apocalyptic number.

It is an amenable number.

1002214181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002214181 is an equidigital number, since it uses as much as digits as its factorization.

1002214181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1002214181 is about 31657.7665194499. The cubic root of 1002214181 is about 1000.7375162694.

Adding to 1002214181 its reverse (1814122001), we get a palindrome (2816336182).

The spelling of 1002214181 in words is "one billion, two million, two hundred fourteen thousand, one hundred eighty-one".