Base | Representation |
---|---|
bin | 1100000100010… |
… | …10010010000000 |
3 | 21001111000001000 |
4 | 12002022102000 |
5 | 201403322241 |
6 | 14013412000 |
7 | 2336303211 |
oct | 602122200 |
9 | 231430030 |
10 | 101229696 |
11 | 52161407 |
12 | 29a9a000 |
13 | 17c84439 |
14 | d631408 |
15 | 8d48eb6 |
hex | 608a480 |
101229696 has 128 divisors (see below), whose sum is σ = 316526400. Its totient is φ = 31739904.
The previous prime is 101229641. The next prime is 101229703. The reversal of 101229696 is 696922101.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 101229696.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57891 + ... + 59613.
Almost surely, 2101229696 is an apocalyptic number.
101229696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101229696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158263200).
101229696 is an abundant number, since it is smaller than the sum of its proper divisors (215296704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101229696 is a wasteful number, since it uses less digits than its factorization.
101229696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1763 (or 1745 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 36.
The square root of 101229696 is about 10061.2969342923. The cubic root of 101229696 is about 466.0537186257.
The spelling of 101229696 in words is "one hundred one million, two hundred twenty-nine thousand, six hundred ninety-six".
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