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21003133337 is a prime number
BaseRepresentation
bin10011100011111000…
…100110000110011001
32000012202002201111022
4103203320212012121
5321003300231322
613352042012225
71342322454614
oct234370460631
960182081438
1021003133337
1189a87a2a3a
1240a1aa7075
131c99471064
14103360b17b
1582dd6a942
hex4e3e26199

21003133337 has 2 divisors, whose sum is σ = 21003133338. Its totient is φ = 21003133336.

The previous prime is 21003133303. The next prime is 21003133351. The reversal of 21003133337 is 73333130012.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20661475081 + 341658256 = 143741^2 + 18484^2 .

It is a cyclic number.

It is not a de Polignac number, because 21003133337 - 222 = 20998939033 is a prime.

It is a super-2 number, since 2×210031333372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21003133397) 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, 10501566668 + 10501566669.

It is an arithmetic number, because the mean of its divisors is an integer number (10501566669).

Almost surely, 221003133337 is an apocalyptic number.

It is an amenable number.

21003133337 is a deficient number, since it is larger than the sum of its proper divisors (1).

21003133337 is an equidigital number, since it uses as much as digits as its factorization.

21003133337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3402, while the sum is 26.

Adding to 21003133337 its reverse (73333130012), we get a palindrome (94336263349).

The spelling of 21003133337 in words is "twenty-one billion, three million, one hundred thirty-three thousand, three hundred thirty-seven".