Base | Representation |
---|---|
bin | 110001100001101101… |
… | …0011110000010011101 |
3 | 101011112020210112011200 |
4 | 1203003122132002131 |
5 | 3220310033223010 |
6 | 120505434510113 |
7 | 10453433425050 |
oct | 1430332360235 |
9 | 334466715150 |
10 | 106357711005 |
11 | 41119178517 |
12 | 18742b95339 |
13 | a04ca31410 |
14 | 520d586a97 |
15 | 2b77480cc0 |
hex | 18c369e09d |
106357711005 has 96 divisors (see below), whose sum is σ = 227059822080. Its totient is φ = 44848304640.
The previous prime is 106357711001. The next prime is 106357711021. The reversal of 106357711005 is 500117753601.
106357711005 is a `hidden beast` number, since 1 + 0 + 635 + 7 + 7 + 1 + 10 + 0 + 5 = 666.
It is not a de Polignac number, because 106357711005 - 22 = 106357711001 is a prime.
It is a super-2 number, since 2×1063577110052 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106357711001) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6178951 + ... + 6196139.
It is an arithmetic number, because the mean of its divisors is an integer number (2365206480).
Almost surely, 2106357711005 is an apocalyptic number.
106357711005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
106357711005 is an abundant number, since it is smaller than the sum of its proper divisors (120702111075).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106357711005 is a wasteful number, since it uses less digits than its factorization.
106357711005 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18731 (or 18728 counting only the distinct ones).
The product of its (nonzero) digits is 22050, while the sum is 36.
The spelling of 106357711005 in words is "one hundred six billion, three hundred fifty-seven million, seven hundred eleven thousand, five".
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