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212232121337 is a prime number
BaseRepresentation
bin1100010110101000000…
…1010010101111111001
3202021210211011211110102
43011222001102233321
511434122410340322
6241255330525145
721222211160225
oct3055201225771
9667724154412
10212232121337
1182009554a95
12351701367b5
13170235a66b2
14a3b4883785
1557c2296792
hex316a052bf9

212232121337 has 2 divisors, whose sum is σ = 212232121338. Its totient is φ = 212232121336.

The previous prime is 212232121271. The next prime is 212232121363. The reversal of 212232121337 is 733121232212.

212232121337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139714478656 + 72517642681 = 373784^2 + 269291^2 .

It is a cyclic number.

It is not a de Polignac number, because 212232121337 - 210 = 212232120313 is a prime.

It is not a weakly prime, because it can be changed into another prime (212232124337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106116060668 + 106116060669.

It is an arithmetic number, because the mean of its divisors is an integer number (106116060669).

Almost surely, 2212232121337 is an apocalyptic number.

It is an amenable number.

212232121337 is a deficient number, since it is larger than the sum of its proper divisors (1).

212232121337 is an equidigital number, since it uses as much as digits as its factorization.

212232121337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6048, while the sum is 29.

Adding to 212232121337 its reverse (733121232212), we get a palindrome (945353353549).

The spelling of 212232121337 in words is "two hundred twelve billion, two hundred thirty-two million, one hundred twenty-one thousand, three hundred thirty-seven".