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166167132532201 is a prime number
BaseRepresentation
bin100101110010000011001100…
…111010000110110111101001
3210210100102102011120220221101
4211302003030322012313221
5133234440241412012301
61345224043222241401
750000115306652663
oct4562031472066751
9723312364526841
10166167132532201
1148a450a33898a9
1216778378586261
137194654bbac98
142d06764227533
1514325c6040701
hex9720cce86de9

166167132532201 has 2 divisors, whose sum is σ = 166167132532202. Its totient is φ = 166167132532200.

The previous prime is 166167132532129. The next prime is 166167132532237. The reversal of 166167132532201 is 102235231761661.

166167132532201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 151888740219225 + 14278392312976 = 12324315^2 + 3778676^2 .

It is an emirp because it is prime and its reverse (102235231761661) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 166167132532201 - 229 = 166166595661289 is a prime.

It is a super-2 number, since 2×1661671325322012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (166167132532601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 83083566266100 + 83083566266101.

It is an arithmetic number, because the mean of its divisors is an integer number (83083566266101).

Almost surely, 2166167132532201 is an apocalyptic number.

It is an amenable number.

166167132532201 is a deficient number, since it is larger than the sum of its proper divisors (1).

166167132532201 is an equidigital number, since it uses as much as digits as its factorization.

166167132532201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 166167132532201 in words is "one hundred sixty-six trillion, one hundred sixty-seven billion, one hundred thirty-two million, five hundred thirty-two thousand, two hundred one".