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3412116221 is a prime number
BaseRepresentation
bin1100101101100000…
…1100001011111101
322210210111110111212
43023120030023331
523442000204341
61322325254205
7150361336463
oct31330141375
98723443455
103412116221
1114a1061468
127b2864365
13424ba89a7
14245242833
1514e84c5eb
hexcb60c2fd

3412116221 has 2 divisors, whose sum is σ = 3412116222. Its totient is φ = 3412116220.

The previous prime is 3412116187. The next prime is 3412116317. The reversal of 3412116221 is 1226112143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3411144025 + 972196 = 58405^2 + 986^2 .

It is a cyclic number.

It is not a de Polignac number, because 3412116221 - 222 = 3407921917 is a prime.

It is a super-3 number, since 3×34121162213 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3412416221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1706058110 + 1706058111.

It is an arithmetic number, because the mean of its divisors is an integer number (1706058111).

Almost surely, 23412116221 is an apocalyptic number.

It is an amenable number.

3412116221 is a deficient number, since it is larger than the sum of its proper divisors (1).

3412116221 is an equidigital number, since it uses as much as digits as its factorization.

3412116221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 576, while the sum is 23.

The square root of 3412116221 is about 58413.3222903817. The cubic root of 3412116221 is about 1505.4786645349.

Adding to 3412116221 its reverse (1226112143), we get a palindrome (4638228364).

The spelling of 3412116221 in words is "three billion, four hundred twelve million, one hundred sixteen thousand, two hundred twenty-one".