Base | Representation |
---|---|
bin | 1100000011011… |
… | …11100110010000 |
3 | 21001021110010000 |
4 | 12001233212100 |
5 | 201341323100 |
6 | 14011210000 |
7 | 2335336443 |
oct | 601574620 |
9 | 231243100 |
10 | 101120400 |
11 | 52097287 |
12 | 29a46900 |
13 | 17c46774 |
14 | d60365a |
15 | 8d26900 |
hex | 606f990 |
101120400 has 150 divisors (see below), whose sum is σ = 363029282. Its totient is φ = 26956800.
The previous prime is 101120389. The next prime is 101120407. The reversal of 101120400 is 4021101.
It is a happy number.
It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 99440784 = 1296^2 + 9972^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (101120407) by changing a digit.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30840 + ... + 33960.
Almost surely, 2101120400 is an apocalyptic number.
101120400 is a gapful number since it is divisible by the number (10) 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 101120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181514641).
101120400 is an abundant number, since it is smaller than the sum of its proper divisors (261908882).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101120400 is a wasteful number, since it uses less digits than its factorization.
101120400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3151 (or 3131 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 101120400 is about 10055.8639608937. The cubic root of 101120400 is about 465.8859281041.
Adding to 101120400 its reverse (4021101), we get a palindrome (105141501).
The spelling of 101120400 in words is "one hundred one million, one hundred twenty thousand, four hundred".
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