Base | Representation |
---|---|
bin | 1100000101101… |
… | …00101100101000 |
3 | 21001210211100200 |
4 | 12002310230220 |
5 | 201424402212 |
6 | 14021232200 |
7 | 2340625554 |
oct | 602645450 |
9 | 231724320 |
10 | 101403432 |
11 | 5226a999 |
12 | 29b62660 |
13 | 18015540 |
14 | d678864 |
15 | 8d806dc |
hex | 60b4b28 |
101403432 has 96 divisors (see below), whose sum is σ = 298378080. Its totient is φ = 30925440.
The previous prime is 101403413. The next prime is 101403439. The reversal of 101403432 is 234304101.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (101403439) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122203 + ... + 123029.
It is an arithmetic number, because the mean of its divisors is an integer number (3108105).
Almost surely, 2101403432 is an apocalyptic number.
101403432 is a gapful number since it is divisible by the number (12) 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 101403432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149189040).
101403432 is an abundant number, since it is smaller than the sum of its proper divisors (196974648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101403432 is a wasteful number, since it uses less digits than its factorization.
101403432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 983 (or 976 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 101403432 is about 10069.9271099646. The cubic root of 101403432 is about 466.3201886250.
Adding to 101403432 its reverse (234304101), we get a palindrome (335707533).
The spelling of 101403432 in words is "one hundred one million, four hundred three thousand, four hundred thirty-two".
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