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2131223012221 is a prime number
BaseRepresentation
bin11111000000110110110…
…010100110001101111101
321112202001121002112221211
4133000312302212031331
5234404221042342341
64311023105324421
7306655456463512
oct37006662461575
97482047075854
102131223012221
11751934914116
122a5066336711
13125c86929874
147521a559309
153a6883c5181
hex1f036ca637d

2131223012221 has 2 divisors, whose sum is σ = 2131223012222. Its totient is φ = 2131223012220.

The previous prime is 2131223012179. The next prime is 2131223012227. The reversal of 2131223012221 is 1222103221312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2131220416900 + 2595321 = 1459870^2 + 1611^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131223012221 - 215 = 2131222979453 is a prime.

It is a super-2 number, since 2×21312230122212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2131223012192 and 2131223012201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2131223012227) 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, 1065611506110 + 1065611506111.

It is an arithmetic number, because the mean of its divisors is an integer number (1065611506111).

Almost surely, 22131223012221 is an apocalyptic number.

It is an amenable number.

2131223012221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131223012221 is an equidigital number, since it uses as much as digits as its factorization.

2131223012221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2131223012221 its reverse (1222103221312), we get a palindrome (3353326233533).

The spelling of 2131223012221 in words is "two trillion, one hundred thirty-one billion, two hundred twenty-three million, twelve thousand, two hundred twenty-one".