Base | Representation |
---|---|
bin | 101111001001010011… |
… | …1110010001010100000 |
3 | 100200022212201201210100 |
4 | 1132102213302022200 |
5 | 3124322000303212 |
6 | 114302205302400 |
7 | 10212632036145 |
oct | 1362247621240 |
9 | 320285651710 |
10 | 101244150432 |
11 | 39a347577a7 |
12 | 17756564a00 |
13 | 97164c1929 |
14 | 4c863a43cc |
15 | 2978596bdc |
hex | 17929f22a0 |
101244150432 has 216 divisors, whose sum is σ = 301831717824. Its totient is φ = 32188983552.
The previous prime is 101244150401. The next prime is 101244150433. The reversal of 101244150432 is 234051442101.
101244150432 is a `hidden beast` number, since 1 + 0 + 124 + 4 + 1 + 504 + 32 = 666.
It is a super-3 number, since 3×1012441504323 (a number of 34 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 101244150396 and 101244150405.
It is not an unprimeable number, because it can be changed into a prime (101244150433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71147673 + ... + 71149095.
It is an arithmetic number, because the mean of its divisors is an integer number (1397369064).
Almost surely, 2101244150432 is an apocalyptic number.
101244150432 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 101244150432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150915858912).
101244150432 is an abundant number, since it is smaller than the sum of its proper divisors (200587567392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101244150432 is a wasteful number, since it uses less digits than its factorization.
101244150432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1952 (or 1918 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
Adding to 101244150432 its reverse (234051442101), we get a palindrome (335295592533).
The spelling of 101244150432 in words is "one hundred one billion, two hundred forty-four million, one hundred fifty thousand, four hundred thirty-two".
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