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1001000211131 is a prime number
BaseRepresentation
bin11101001000100000100…
…00110001001010111011
310112200202102111102012202
432210100100301022323
5112400022023224011
62043504140300415
7132214501256324
oct16442020611273
93480672442182
101001000211131
11356581583368
12142000b4170b
137351757ab4b
143663d20b44b
151b08948a23b
hexe9104312bb

1001000211131 has 2 divisors, whose sum is σ = 1001000211132. Its totient is φ = 1001000211130.

The previous prime is 1001000210983. The next prime is 1001000211163. The reversal of 1001000211131 is 1311120001001.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (1311120001001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001000211131 is a prime.

It is a super-2 number, since 2×10010002111312 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1001000210131) 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, 500500105565 + 500500105566.

It is an arithmetic number, because the mean of its divisors is an integer number (500500105566).

Almost surely, 21001000211131 is an apocalyptic number.

1001000211131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000211131 is an equidigital number, since it uses as much as digits as its factorization.

1001000211131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1001000211131 its reverse (1311120001001), we get a palindrome (2312120212132).

The spelling of 1001000211131 in words is "one trillion, one billion, two hundred eleven thousand, one hundred thirty-one".