Search a number
-
+
102166033 = 536131601
BaseRepresentation
bin1100001011011…
…10111000010001
321010020120110011
412011232320101
5202123303113
614045434521
72350253104
oct605567021
9233216404
10102166033
1152740942
122a26ba41
1318221698
14d7d673b
158e8163d
hex616ee11

102166033 has 8 divisors (see below), whose sum is σ = 105803496. Its totient is φ = 98592000.

The previous prime is 102166013. The next prime is 102166063. The reversal of 102166033 is 330661201.

It can be written as a sum of positive squares in 4 ways, for example, as 19864849 + 82301184 = 4457^2 + 9072^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102166033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102165995 and 102166013.

It is not an unprimeable number, because it can be changed into a prime (102166013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12568 + ... + 19033.

It is an arithmetic number, because the mean of its divisors is an integer number (13225437).

Almost surely, 2102166033 is an apocalyptic number.

It is an amenable number.

102166033 is a deficient number, since it is larger than the sum of its proper divisors (3637463).

102166033 is an equidigital number, since it uses as much as digits as its factorization.

102166033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31715.

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 102166033 is about 10107.7214544130. The cubic root of 102166033 is about 467.4862519907.

The spelling of 102166033 in words is "one hundred two million, one hundred sixty-six thousand, thirty-three".

Divisors: 1 53 61 3233 31601 1674853 1927661 102166033