Base | Representation |
---|---|
bin | 101111001000111101… |
… | …0100101010100001000 |
3 | 100200022001102201212100 |
4 | 1132101322211110020 |
5 | 3124310432120240 |
6 | 114301103313400 |
7 | 10212426235503 |
oct | 1362172452410 |
9 | 320261381770 |
10 | 101232301320 |
11 | 39a28aa4347 |
12 | 177525ab860 |
13 | 9713c03517 |
14 | 4c8499c13a |
15 | 2977505e30 |
hex | 1791ea5508 |
101232301320 has 192 divisors, whose sum is σ = 337370670000. Its totient is φ = 26310205440.
The previous prime is 101232301307. The next prime is 101232301333. The reversal of 101232301320 is 23103232101.
101232301320 is a `hidden beast` number, since 1 + 0 + 12 + 32 + 301 + 320 = 666.
It is an interprime number because it is at equal distance from previous prime (101232301307) and next prime (101232301333).
It can be written as a sum of positive squares in 8 ways, for example, as 1261244196 + 99971057124 = 35514^2 + 316182^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 101232301293 and 101232301302.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 17605806 + ... + 17611554.
Almost surely, 2101232301320 is an apocalyptic number.
101232301320 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 101232301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168685335000).
101232301320 is an abundant number, since it is smaller than the sum of its proper divisors (236138368680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101232301320 is a wasteful number, since it uses less digits than its factorization.
101232301320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7000 (or 6993 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 101232301320 its reverse (23103232101), we get a palindrome (124335533421).
The spelling of 101232301320 in words is "one hundred one billion, two hundred thirty-two million, three hundred one thousand, three hundred twenty".
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