Search a number
-
+
106065055501155 = 3252357001233359
BaseRepresentation
bin11000000111011100110001…
…111101001100101101100011
3111220112201110002020221202200
4120013130301331030231203
5102400232213202014110
61013325340330544243
731224642644244522
oct3007346175145543
9456481402227680
10106065055501155
1130882a347a1513
12ba90150598083
134724b79424b0a
141c2980ca824b9
15c3dedec266c0
hex607731f4cb63

106065055501155 has 12 divisors (see below), whose sum is σ = 183846096202080. Its totient is φ = 56568029600592.

The previous prime is 106065055501121. The next prime is 106065055501193. The reversal of 106065055501155 is 551105550560601.

106065055501155 is a `hidden beast` number, since 10 + 60 + 65 + 0 + 5 + 5 + 501 + 15 + 5 = 666.

It is not a de Polignac number, because 106065055501155 - 220 = 106065054452579 is a prime.

It is a super-2 number, since 2×1060650555011552 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2357001233359 = 106065055501155 / (1 + 0 + 6 + 0 + 6 + 5 + 0 + 5 + 5 + 5 + 0 + 1 + 1 + 5 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 106065055501155.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1178500616635 + ... + 1178500616724.

It is an arithmetic number, because the mean of its divisors is an integer number (15320508016840).

Almost surely, 2106065055501155 is an apocalyptic number.

106065055501155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106065055501155 is a deficient number, since it is larger than the sum of its proper divisors (77781040700925).

106065055501155 is a wasteful number, since it uses less digits than its factorization.

106065055501155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357001233370 (or 2357001233367 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 45.

The spelling of 106065055501155 in words is "one hundred six trillion, sixty-five billion, fifty-five million, five hundred one thousand, one hundred fifty-five".

Divisors: 1 3 5 9 15 45 2357001233359 7071003700077 11785006166795 21213011100231 35355018500385 106065055501155