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164410133 is a prime number
BaseRepresentation
bin10011100110010…
…11001100010101
3102110100220022012
421303023030111
5314042111013
624151514005
74034314556
oct1163131425
9373326265
10164410133
1184894848
1247088905
13280a5c04
1417b9a32d
15e6791a8
hex9ccb315

164410133 has 2 divisors, whose sum is σ = 164410134. Its totient is φ = 164410132.

The previous prime is 164410121. The next prime is 164410151. The reversal of 164410133 is 331014461.

164410133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106543684 + 57866449 = 10322^2 + 7607^2 .

It is a cyclic number.

It is not a de Polignac number, because 164410133 - 24 = 164410117 is a prime.

It is a super-3 number, since 3×1644101333 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164410099 and 164410108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164410163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82205066 + 82205067.

It is an arithmetic number, because the mean of its divisors is an integer number (82205067).

Almost surely, 2164410133 is an apocalyptic number.

It is an amenable number.

164410133 is a deficient number, since it is larger than the sum of its proper divisors (1).

164410133 is an equidigital number, since it uses as much as digits as its factorization.

164410133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 164410133 is about 12822.2514793620. The cubic root of 164410133 is about 547.8262775834.

Adding to 164410133 its reverse (331014461), we get a palindrome (495424594).

The spelling of 164410133 in words is "one hundred sixty-four million, four hundred ten thousand, one hundred thirty-three".