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221010112000213 is a prime number
BaseRepresentation
bin110010010000000111101101…
…001101111011000011010101
31001222112100201201000211020121
4302100013231031323003111
5212432012202133001323
62102014351021231541
764360311414562564
oct6220075515730325
91058470651024217
10221010112000213
1164469953558748
12209552a74025b1
1396422197b1513
143c80d37283bdb
151a83ea82bea5d
hexc901ed37b0d5

221010112000213 has 2 divisors, whose sum is σ = 221010112000214. Its totient is φ = 221010112000212.

The previous prime is 221010112000201. The next prime is 221010112000247. The reversal of 221010112000213 is 312000211010122.

221010112000213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125310516631524 + 95699595368689 = 11194218^2 + 9782617^2 .

It is a cyclic number.

It is not a de Polignac number, because 221010112000213 - 237 = 220872673046741 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221010112000813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110505056000106 + 110505056000107.

It is an arithmetic number, because the mean of its divisors is an integer number (110505056000107).

Almost surely, 2221010112000213 is an apocalyptic number.

It is an amenable number.

221010112000213 is a deficient number, since it is larger than the sum of its proper divisors (1).

221010112000213 is an equidigital number, since it uses as much as digits as its factorization.

221010112000213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 221010112000213 its reverse (312000211010122), we get a palindrome (533010323010335).

Subtracting 221010112000213 from its reverse (312000211010122), we obtain a palindrome (90990099009909).

The spelling of 221010112000213 in words is "two hundred twenty-one trillion, ten billion, one hundred twelve million, two hundred thirteen", and thus it is an aban number.