Search a number
-
+
106016423033 = 1321586113693
BaseRepresentation
bin110001010111100010…
…0100011110001111001
3101010122110121022002102
41202233010203301321
53214110201014113
6120411523513145
710442120504303
oct1425704436171
9333573538072
10106016423033
1140a63563844
12186688287b5
139cc7108781
1451ba106973
152b57518758
hex18af123c79

106016423033 has 8 divisors (see below), whose sum is σ = 106122529416. Its totient is φ = 105910358400.

The previous prime is 106016423011. The next prime is 106016423039. The reversal of 106016423033 is 330324610601.

It can be written as a sum of positive squares in 4 ways, for example, as 74951655529 + 31064767504 = 273773^2 + 176252^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 106016423033 - 26 = 106016422969 is a prime.

It is a super-2 number, since 2×1060164230332 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106016422987 and 106016423005.

It is not an unprimeable number, because it can be changed into a prime (106016423039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7735535 + ... + 7749227.

It is an arithmetic number, because the mean of its divisors is an integer number (13265316177).

Almost surely, 2106016423033 is an apocalyptic number.

It is an amenable number.

106016423033 is a deficient number, since it is larger than the sum of its proper divisors (106106383).

106016423033 is a wasteful number, since it uses less digits than its factorization.

106016423033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20875.

The product of its (nonzero) digits is 7776, while the sum is 29.

The spelling of 106016423033 in words is "one hundred six billion, sixteen million, four hundred twenty-three thousand, thirty-three".

Divisors: 1 1321 5861 13693 7742381 18088453 80254673 106016423033