Base | Representation |
---|---|
bin | 110001010111101001… |
… | …0101101001011000110 |
3 | 101010122201120201012000 |
4 | 1202233102231023012 |
5 | 3214112123202101 |
6 | 120412135210130 |
7 | 10442164151241 |
oct | 1425722551306 |
9 | 333581521160 |
10 | 106020131526 |
11 | 40a65667011 |
12 | 18669b16946 |
13 | 9cc7b0674a |
14 | 51ba7d0258 |
15 | 2b579ec486 |
hex | 18af4ad2c6 |
106020131526 has 32 divisors (see below), whose sum is σ = 235611698400. Its totient is φ = 35338332960.
The previous prime is 106020131521. The next prime is 106020131531. The reversal of 106020131526 is 625131020601.
106020131526 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 2 + 0 + 131 + 526 = 666.
It is an interprime number because it is at equal distance from previous prime (106020131521) and next prime (106020131531).
It is a super-2 number, since 2×1060201315262 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a self number, because there is not a number n which added to its sum of digits gives 106020131526.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106020131521) 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 15 ways as a sum of consecutive naturals, for example, 1606060 + ... + 1670768.
It is an arithmetic number, because the mean of its divisors is an integer number (7362865575).
Almost surely, 2106020131526 is an apocalyptic number.
106020131526 is an abundant number, since it is smaller than the sum of its proper divisors (129591566874).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106020131526 is a wasteful number, since it uses less digits than its factorization.
106020131526 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 95061 (or 95055 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The spelling of 106020131526 in words is "one hundred six billion, twenty million, one hundred thirty-one thousand, five hundred twenty-six".
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