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21312234505189 is a prime number
BaseRepresentation
bin1001101100010001001000…
…01010101100001111100101
32210110102121021012012212201
410312020210022230033211
510243134424013131224
6113154412205414501
74326521016205525
oct466104412541745
983412537165781
1021312234505189
116877516851041
12248255426a431
13bb7972cbb754
14539736629685
1526e5a7deea44
hex1362242ac3e5

21312234505189 has 2 divisors, whose sum is σ = 21312234505190. Its totient is φ = 21312234505188.

The previous prime is 21312234505187. The next prime is 21312234505283. The reversal of 21312234505189 is 98150543221312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15937325496964 + 5374909008225 = 3992158^2 + 2318385^2 .

It is a cyclic number.

It is not a de Polignac number, because 21312234505189 - 21 = 21312234505187 is a prime.

It is a super-3 number, since 3×213122345051893 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 21312234505187, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21312234505187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10656117252594 + 10656117252595.

It is an arithmetic number, because the mean of its divisors is an integer number (10656117252595).

Almost surely, 221312234505189 is an apocalyptic number.

It is an amenable number.

21312234505189 is a deficient number, since it is larger than the sum of its proper divisors (1).

21312234505189 is an equidigital number, since it uses as much as digits as its factorization.

21312234505189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 21312234505189 in words is "twenty-one trillion, three hundred twelve billion, two hundred thirty-four million, five hundred five thousand, one hundred eighty-nine".