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114612146221 is a prime number
BaseRepresentation
bin110101010111101101…
…0101001000000101101
3101221211111222021120111
41222233122221000231
53334211202134341
6124352504020021
711165124111616
oct1525732510055
9357744867514
10114612146221
1144674628901
121a267461611
13aa66baa901
145793962c0d
152eabe89681
hex1aaf6a902d

114612146221 has 2 divisors, whose sum is σ = 114612146222. Its totient is φ = 114612146220.

The previous prime is 114612146203. The next prime is 114612146267. The reversal of 114612146221 is 122641216411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67867544196 + 46744602025 = 260514^2 + 216205^2 .

It is a cyclic number.

It is not a de Polignac number, because 114612146221 - 233 = 106022211629 is a prime.

It is a super-2 number, since 2×1146121462212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114612116221) 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, 57306073110 + 57306073111.

It is an arithmetic number, because the mean of its divisors is an integer number (57306073111).

Almost surely, 2114612146221 is an apocalyptic number.

It is an amenable number.

114612146221 is a deficient number, since it is larger than the sum of its proper divisors (1).

114612146221 is an equidigital number, since it uses as much as digits as its factorization.

114612146221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4608, while the sum is 31.

The spelling of 114612146221 in words is "one hundred fourteen billion, six hundred twelve million, one hundred forty-six thousand, two hundred twenty-one".