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128008181727233 is a prime number
BaseRepresentation
bin11101000110110000111010…
…001100110100000000000001
3121210020110111021112020121022
4131012300322030310000001
5113234241224010232413
61132130051415435225
735651200034554523
oct3506607214640001
9553213437466538
10128008181727233
1137872a68467195
1212434a15085b15
1356571730c1042
1423878b419da13
15ebebbea11608
hex746c3a334001

128008181727233 has 2 divisors, whose sum is σ = 128008181727234. Its totient is φ = 128008181727232.

The previous prime is 128008181727211. The next prime is 128008181727263. The reversal of 128008181727233 is 332727181800821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 127350480191089 + 657701536144 = 11284967^2 + 810988^2 .

It is a cyclic number.

It is not a de Polignac number, because 128008181727233 - 28 = 128008181726977 is a prime.

It is a super-2 number, since 2×1280081817272332 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (128008181727263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64004090863616 + 64004090863617.

It is an arithmetic number, because the mean of its divisors is an integer number (64004090863617).

Almost surely, 2128008181727233 is an apocalyptic number.

It is an amenable number.

128008181727233 is a deficient number, since it is larger than the sum of its proper divisors (1).

128008181727233 is an equidigital number, since it uses as much as digits as its factorization.

128008181727233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1806336, while the sum is 53.

The spelling of 128008181727233 in words is "one hundred twenty-eight trillion, eight billion, one hundred eighty-one million, seven hundred twenty-seven thousand, two hundred thirty-three".