Base | Representation |
---|---|
bin | 110001101100000101… |
… | …1101001101111101010 |
3 | 101012102112102222022210 |
4 | 1203120023221233222 |
5 | 3222013233221310 |
6 | 121004203025550 |
7 | 10465164203235 |
oct | 1433013515752 |
9 | 335375388283 |
10 | 106706148330 |
11 | 41287925651 |
12 | 1881b80b2b6 |
13 | a0a6c8b252 |
14 | 524396841c |
15 | 2b97d5b820 |
hex | 18d82e9bea |
106706148330 has 32 divisors (see below), whose sum is σ = 269573428800. Its totient is φ = 26957342592.
The previous prime is 106706148323. The next prime is 106706148331. The reversal of 106706148330 is 33841607601.
106706148330 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×1067061483303 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (106706148331) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93601315 + ... + 93602454.
It is an arithmetic number, because the mean of its divisors is an integer number (8424169650).
Almost surely, 2106706148330 is an apocalyptic number.
106706148330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
106706148330 is an abundant number, since it is smaller than the sum of its proper divisors (162867280470).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106706148330 is a wasteful number, since it uses less digits than its factorization.
106706148330 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 187203798.
The product of its (nonzero) digits is 72576, while the sum is 39.
The spelling of 106706148330 in words is "one hundred six billion, seven hundred six million, one hundred forty-eight thousand, three hundred thirty".
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