Base | Representation |
---|---|
bin | 1100000100010… |
… | …01000000010000 |
3 | 21001110201212020 |
4 | 12002021000100 |
5 | 201403140324 |
6 | 14013331440 |
7 | 2336252025 |
oct | 602110020 |
9 | 231421766 |
10 | 101224464 |
11 | 52158490 |
12 | 29a96b80 |
13 | 17c81c43 |
14 | d62d54c |
15 | 8d47679 |
hex | 6089010 |
101224464 has 80 divisors (see below), whose sum is σ = 291409920. Its totient is φ = 30014080.
The previous prime is 101224463. The next prime is 101224469. The reversal of 101224464 is 464422101.
It is a happy number.
It is a super-2 number, since 2×1012244642 = 20492784224174592, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is not an unprimeable number, because it can be changed into a prime (101224463) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22777 + ... + 26855.
It is an arithmetic number, because the mean of its divisors is an integer number (3642624).
Almost surely, 2101224464 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 101224464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145704960).
101224464 is an abundant number, since it is smaller than the sum of its proper divisors (190185456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101224464 is a wasteful number, since it uses less digits than its factorization.
101224464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4148 (or 4142 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 101224464 is about 10061.0369246912. The cubic root of 101224464 is about 466.0456892458.
Adding to 101224464 its reverse (464422101), we get a palindrome (565646565).
The spelling of 101224464 in words is "one hundred one million, two hundred twenty-four thousand, four hundred sixty-four".
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