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211405926097 is a prime number
BaseRepresentation
bin1100010011100011000…
…1100110111011010001
3202012200020112202122201
43010320301212323101
511430424404113342
6241041334403201
721162556502602
oct3047061467321
9665606482581
10211405926097
1181725152303
1234b7b500501
1316c21381582
14a336c59da9
155774997db7
hex3138c66ed1

211405926097 has 2 divisors, whose sum is σ = 211405926098. Its totient is φ = 211405926096.

The previous prime is 211405926073. The next prime is 211405926119. The reversal of 211405926097 is 790629504112.

211405926097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176017167936 + 35388758161 = 419544^2 + 188119^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-211405926097 is a prime.

It is not a weakly prime, because it can be changed into another prime (211405926007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105702963048 + 105702963049.

It is an arithmetic number, because the mean of its divisors is an integer number (105702963049).

Almost surely, 2211405926097 is an apocalyptic number.

It is an amenable number.

211405926097 is a deficient number, since it is larger than the sum of its proper divisors (1).

211405926097 is an equidigital number, since it uses as much as digits as its factorization.

211405926097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 211405926097 in words is "two hundred eleven billion, four hundred five million, nine hundred twenty-six thousand, ninety-seven".