Base | Representation |
---|---|
bin | 101111001000111100… |
… | …1011011110000000000 |
3 | 100200022000212102112100 |
4 | 1132101321123300000 |
5 | 3124310343000000 |
6 | 114301053030400 |
7 | 10212423542145 |
oct | 1362171336000 |
9 | 320260772470 |
10 | 101232000000 |
11 | 39a28908a1a |
12 | 17752485400 |
13 | 9713b29321 |
14 | 4c849203cc |
15 | 2977496a00 |
hex | 1791e5bc00 |
101232000000 has 924 divisors, whose sum is σ = 395001975160. Its totient is φ = 24883200000.
The previous prime is 101231999989. The next prime is 101232000017. The reversal of 101232000000 is 232101.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
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 83 ways as a sum of consecutive naturals, for example, 2735999982 + ... + 2736000018.
Almost surely, 2101232000000 is an apocalyptic number.
101232000000 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 101232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197500987580).
101232000000 is an abundant number, since it is smaller than the sum of its proper divisors (293769975160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101232000000 is an frugal number, since it uses more digits than its factorization.
101232000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 112 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 101232000000 its reverse (232101), we get a palindrome (101232232101).
The spelling of 101232000000 in words is "one hundred one billion, two hundred thirty-two million", and thus it is an aban number.
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