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114612116221 is a prime number
BaseRepresentation
bin110101010111101101…
…0100001101011111101
3101221211111220202102101
41222233122201223331
53334211200204341
6124352503225101
711165123625301
oct1525732415375
9357744822371
10114612116221
1144674608309
121a267448191
13aa66b9a065
145793955d01
152eabe80831
hex1aaf6a1afd

114612116221 has 2 divisors, whose sum is σ = 114612116222. Its totient is φ = 114612116220.

The previous prime is 114612116183. The next prime is 114612116239. The reversal of 114612116221 is 122611216411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80435199321 + 34176916900 = 283611^2 + 184870^2 .

It is a cyclic number.

It is not a de Polignac number, because 114612116221 - 229 = 114075245309 is a prime.

It is a super-2 number, since 2×1146121162212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114612116221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114612146221) 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, 57306058110 + 57306058111.

It is an arithmetic number, because the mean of its divisors is an integer number (57306058111).

Almost surely, 2114612116221 is an apocalyptic number.

It is an amenable number.

114612116221 is a deficient number, since it is larger than the sum of its proper divisors (1).

114612116221 is an equidigital number, since it uses as much as digits as its factorization.

114612116221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1152, while the sum is 28.

The spelling of 114612116221 in words is "one hundred fourteen billion, six hundred twelve million, one hundred sixteen thousand, two hundred twenty-one".