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9002012212201 is a prime number
BaseRepresentation
bin1000001011111111000110…
…1111010111101111101001
31011212120202201010210120011
42002333301233113233221
52134442110111242301
631051244535131521
71616242153202161
oct202776157275751
934776681123504
109002012212201
112960806236a18
121014797813ba1
13503b69a217b8
142319b203d5a1
1510926a1a2a51
hex82ff1bd7be9

9002012212201 has 2 divisors, whose sum is σ = 9002012212202. Its totient is φ = 9002012212200.

The previous prime is 9002012212163. The next prime is 9002012212213. The reversal of 9002012212201 is 1022122102009.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5758555290601 + 3243456921600 = 2399699^2 + 1800960^2 .

It is an emirp because it is prime and its reverse (1022122102009) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9002012212201 - 225 = 9001978657769 is a prime.

It is not a weakly prime, because it can be changed into another prime (9002012282201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4501006106100 + 4501006106101.

It is an arithmetic number, because the mean of its divisors is an integer number (4501006106101).

Almost surely, 29002012212201 is an apocalyptic number.

It is an amenable number.

9002012212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

9002012212201 is an equidigital number, since it uses as much as digits as its factorization.

9002012212201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 9002012212201 in words is "nine trillion, two billion, twelve million, two hundred twelve thousand, two hundred one".