Base | Representation |
---|---|
bin | 1100000011000… |
… | …01101100000000 |
3 | 21001011112221210 |
4 | 12001201230000 |
5 | 201333012144 |
6 | 14010050120 |
7 | 2335011360 |
oct | 601415400 |
9 | 231145853 |
10 | 101063424 |
11 | 520584a0 |
12 | 29a19940 |
13 | 17c26857 |
14 | d5ca9a0 |
15 | 8d14ab9 |
hex | 6061b00 |
101063424 has 144 divisors (see below), whose sum is σ = 335543040. Its totient is φ = 26234880.
The previous prime is 101063407. The next prime is 101063437. The reversal of 101063424 is 424360101.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 101063424.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58282 + ... + 59990.
It is an arithmetic number, because the mean of its divisors is an integer number (2330160).
Almost surely, 2101063424 is an apocalyptic number.
101063424 is a gapful number since it is divisible by the number (14) 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 101063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167771520).
101063424 is an abundant number, since it is smaller than the sum of its proper divisors (234479616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101063424 is a wasteful number, since it uses less digits than its factorization.
101063424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1746 (or 1732 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 21.
The square root of 101063424 is about 10053.0305878377. The cubic root of 101063424 is about 465.7984109673.
It can be divided in two parts, 10106 and 3424, that added together give a triangular number (13530 = T164).
The spelling of 101063424 in words is "one hundred one million, sixty-three thousand, four hundred twenty-four".
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