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211199107952641 is a prime number
BaseRepresentation
bin110000000001010110011111…
…110011100111000000000001
31000200210102210222000201110011
4300001112133303213000001
5210140241233113441031
62025103310351304521
762325426531261034
oct6001263763470001
91020712728021404
10211199107952641
1161327047543036
121b82b975b1b141
1390accb4c61413
143a2213c9d101b
151963b907126b1
hexc0159fce7001

211199107952641 has 2 divisors, whose sum is σ = 211199107952642. Its totient is φ = 211199107952640.

The previous prime is 211199107952639. The next prime is 211199107952689. The reversal of 211199107952641 is 146259701991112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210601888112641 + 597219840000 = 14512129^2 + 772800^2 .

It is a cyclic number.

It is not a de Polignac number, because 211199107952641 - 21 = 211199107952639 is a prime.

Together with 211199107952639, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211199107952611) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105599553976320 + 105599553976321.

It is an arithmetic number, because the mean of its divisors is an integer number (105599553976321).

Almost surely, 2211199107952641 is an apocalyptic number.

It is an amenable number.

211199107952641 is a deficient number, since it is larger than the sum of its proper divisors (1).

211199107952641 is an equidigital number, since it uses as much as digits as its factorization.

211199107952641 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2449440, while the sum is 58.

The spelling of 211199107952641 in words is "two hundred eleven trillion, one hundred ninety-nine billion, one hundred seven million, nine hundred fifty-two thousand, six hundred forty-one".