Search a number
-
+
105601056051 = 31671033204047
BaseRepresentation
bin110001001011001010…
…0000011110100110011
3101002120112000110201010
41202112110003310303
53212232332243201
6120302405042003
710425615110661
oct1422624036463
9332515013633
10105601056051
1140870052447
12185716b6303
139c5c0467aa
14517aca1c31
152b30d1bbd6
hex1896503d33

105601056051 has 16 divisors (see below), whose sum is σ = 141782344704. Its totient is φ = 69911056704.

The previous prime is 105601056047. The next prime is 105601056073. The reversal of 105601056051 is 150650106501.

It is not a de Polignac number, because 105601056051 - 22 = 105601056047 is a prime.

It is a super-2 number, since 2×1056010560512 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105601056751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415510 + ... + 619556.

It is an arithmetic number, because the mean of its divisors is an integer number (8861396544).

Almost surely, 2105601056051 is an apocalyptic number.

105601056051 is a deficient number, since it is larger than the sum of its proper divisors (36181288653).

105601056051 is a wasteful number, since it uses less digits than its factorization.

105601056051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205250.

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 105601056051 in words is "one hundred five billion, six hundred one million, fifty-six thousand, fifty-one".

Divisors: 1 3 167 501 1033 3099 172511 204047 517533 612141 34075849 102227547 210780551 632341653 35200352017 105601056051