Search a number
-
+
106110061000 = 2353106110061
BaseRepresentation
bin110001011010010100…
…1110000100111001000
3101010212222210121020021
41202310221300213020
53214303133423000
6120425110510224
710444335431266
oct1426451604710
9333788717207
10106110061000
11410013aa399
1218694065374
13a010632558
1451c871d436
152b6086311a
hex18b4a709c8

106110061000 has 32 divisors (see below), whose sum is σ = 248297545080. Its totient is φ = 42444024000.

The previous prime is 106110060949. The next prime is 106110061027. The reversal of 106110061000 is 160011601.

It can be written as a sum of positive squares in 4 ways, for example, as 52779548644 + 53330512356 = 229738^2 + 230934^2 .

It is a super-2 number, since 2×1061100610002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53054031 + ... + 53056030.

Almost surely, 2106110061000 is an apocalyptic number.

106110061000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106110061000 is an abundant number, since it is smaller than the sum of its proper divisors (142187484080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106110061000 is a wasteful number, since it uses less digits than its factorization.

106110061000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106110082 (or 106110068 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 106110061000 its reverse (160011601), we get a palindrome (106270072601).

The spelling of 106110061000 in words is "one hundred six billion, one hundred ten million, sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 106110061 212220122 424440244 530550305 848880488 1061100610 2122201220 2652751525 4244402440 5305503050 10611006100 13263757625 21222012200 26527515250 53055030500 106110061000