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221132212309 is a prime number
BaseRepresentation
bin1100110111110010000…
…0011100100001010101
3210010210002021022001101
43031330200130201111
512110334321243214
6245330422430101
721655601535301
oct3157440344125
9703702238041
10221132212309
1185866407078
1236a34892331
1317b11445708
14a9ba8ccd01
155b437da774
hex337c81c855

221132212309 has 2 divisors, whose sum is σ = 221132212310. Its totient is φ = 221132212308.

The previous prime is 221132212307. The next prime is 221132212339. The reversal of 221132212309 is 903212231122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 195196076100 + 25936136209 = 441810^2 + 161047^2 .

It is a cyclic number.

It is not a de Polignac number, because 221132212309 - 21 = 221132212307 is a prime.

It is a super-3 number, since 3×2211322123093 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 221132212307, 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 (221132212303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110566106154 + 110566106155.

It is an arithmetic number, because the mean of its divisors is an integer number (110566106155).

Almost surely, 2221132212309 is an apocalyptic number.

It is an amenable number.

221132212309 is a deficient number, since it is larger than the sum of its proper divisors (1).

221132212309 is an equidigital number, since it uses as much as digits as its factorization.

221132212309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 221132212309 in words is "two hundred twenty-one billion, one hundred thirty-two million, two hundred twelve thousand, three hundred nine".