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211110211002001 is a prime number
BaseRepresentation
bin110000000000000011101101…
…001000101001111010010001
31000200110221100120201201120211
4300000003231020221322101
5210132312203004031001
62024554405253204121
762316131554540603
oct6000035510517221
91020427316651524
10211110211002001
11612a237952a293
121b8166a6630641
1390a47b8819a8c
143a1bb083c7173
1519616db120351
hexc000ed229e91

211110211002001 has 2 divisors, whose sum is σ = 211110211002002. Its totient is φ = 211110211002000.

The previous prime is 211110211001999. The next prime is 211110211002023. The reversal of 211110211002001 is 100200112011112.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 136053095072400 + 75057115929601 = 11664180^2 + 8663551^2 .

It is a cyclic number.

It is not a de Polignac number, because 211110211002001 - 21 = 211110211001999 is a prime.

It is a super-3 number, since 3×2111102110020013 (a number of 44 digits) contains 333 as substring.

Together with 211110211001999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (211110211003001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105555105501000 + 105555105501001.

It is an arithmetic number, because the mean of its divisors is an integer number (105555105501001).

Almost surely, 2211110211002001 is an apocalyptic number.

It is an amenable number.

211110211002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211110211002001 is an equidigital number, since it uses as much as digits as its factorization.

211110211002001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 211110211002001 its reverse (100200112011112), we get a palindrome (311310323013113).

The spelling of 211110211002001 in words is "two hundred eleven trillion, one hundred ten billion, two hundred eleven million, two thousand, one".