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2002111101229 is a prime number
BaseRepresentation
bin11101001000100111000…
…111101111100100101101
321002101210120020220102111
4131020213013233210231
5230300310420214404
64131431313124021
7264435115366111
oct35104707574455
97071716226374
102002111101229
117020aa581448
12284032b59611
13116a4ba3b0b5
146cc8cdc9741
153712d4d9104
hex1d2271ef92d

2002111101229 has 2 divisors, whose sum is σ = 2002111101230. Its totient is φ = 2002111101228.

The previous prime is 2002111101217. The next prime is 2002111101283. The reversal of 2002111101229 is 9221011112002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1138484732004 + 863626369225 = 1066998^2 + 929315^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002111101229 - 237 = 1864672147757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002111101299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001055550614 + 1001055550615.

It is an arithmetic number, because the mean of its divisors is an integer number (1001055550615).

Almost surely, 22002111101229 is an apocalyptic number.

It is an amenable number.

2002111101229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002111101229 is an equidigital number, since it uses as much as digits as its factorization.

2002111101229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 2002111101229 in words is "two trillion, two billion, one hundred eleven million, one hundred one thousand, two hundred twenty-nine".