Base | Representation |
---|---|
bin | 110001100101111000… |
… | …0100110100100001110 |
3 | 101011220000021021021010 |
4 | 1203023300212210032 |
5 | 3221101404341310 |
6 | 120531355550050 |
7 | 10460053530111 |
oct | 1431360464416 |
9 | 334800237233 |
10 | 106497730830 |
11 | 41190213487 |
12 | 18781a5b326 |
13 | a072a4779a |
14 | 5223dd4578 |
15 | 2b848dd320 |
hex | 18cbc2690e |
106497730830 has 64 divisors (see below), whose sum is σ = 261971635968. Its totient is φ = 27691587840.
The previous prime is 106497730799. The next prime is 106497730831. The reversal of 106497730830 is 38037794601.
It is a super-2 number, since 2×1064977308302 (a number of 23 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.
It is a self number, because there is not a number n which added to its sum of digits gives 106497730830.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106497730831) 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 31 ways as a sum of consecutive naturals, for example, 2322909 + ... + 2368311.
It is an arithmetic number, because the mean of its divisors is an integer number (4093306812).
Almost surely, 2106497730830 is an apocalyptic number.
106497730830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 106497730830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130985817984).
106497730830 is an abundant number, since it is smaller than the sum of its proper divisors (155473905138).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106497730830 is a wasteful number, since it uses less digits than its factorization.
106497730830 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47361.
The product of its (nonzero) digits is 762048, while the sum is 48.
The spelling of 106497730830 in words is "one hundred six billion, four hundred ninety-seven million, seven hundred thirty thousand, eight hundred thirty".
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