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221210224129 is a prime number
BaseRepresentation
bin1100111000000100101…
…0000010011000000001
3210010222112001201011001
43032001022002120001
512111014304133004
6245342250452001
721660536611066
oct3160112023001
9703875051131
10221210224129
11858a644a554
1236a56a34001
1317b2465ab5b
14a9c6dd8c6d
155b4a59a1a4
hex3381282601

221210224129 has 2 divisors, whose sum is σ = 221210224130. Its totient is φ = 221210224128.

The previous prime is 221210224117. The next prime is 221210224177. The reversal of 221210224129 is 921422012122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210295616400 + 10914607729 = 458580^2 + 104473^2 .

It is a cyclic number.

It is not a de Polignac number, because 221210224129 - 25 = 221210224097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221210224097 and 221210224106.

It is not a weakly prime, because it can be changed into another prime (221210224199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110605112064 + 110605112065.

It is an arithmetic number, because the mean of its divisors is an integer number (110605112065).

Almost surely, 2221210224129 is an apocalyptic number.

It is an amenable number.

221210224129 is a deficient number, since it is larger than the sum of its proper divisors (1).

221210224129 is an equidigital number, since it uses as much as digits as its factorization.

221210224129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 221210224129 in words is "two hundred twenty-one billion, two hundred ten million, two hundred twenty-four thousand, one hundred twenty-nine".