Base | Representation |
---|---|
bin | 101111000101000010… |
… | …1101101011000010100 |
3 | 100122221220100221121100 |
4 | 1132022011231120110 |
5 | 3124023324001322 |
6 | 114240053150100 |
7 | 10206243215442 |
oct | 1361205553024 |
9 | 318856327540 |
10 | 101101000212 |
11 | 39970973933 |
12 | 1771662b330 |
13 | 96c2950764 |
14 | 4c7137db92 |
15 | 296ac1bdac |
hex | 178a16d614 |
101101000212 has 36 divisors (see below), whose sum is σ = 255688888000. Its totient is φ = 33683450832.
The previous prime is 101101000183. The next prime is 101101000213. The reversal of 101101000212 is 212000101101.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (36).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 101101000194 and 101101000203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101101000213) 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 11 ways as a sum of consecutive naturals, for example, 630478 + ... + 774405.
Almost surely, 2101101000212 is an apocalyptic number.
101101000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
101101000212 is an abundant number, since it is smaller than the sum of its proper divisors (154587887788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101101000212 is a wasteful number, since it uses less digits than its factorization.
101101000212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1406892 (or 1406887 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 101101000212 its reverse (212000101101), we get a palindrome (313101101313).
The spelling of 101101000212 in words is "one hundred one billion, one hundred one million, two hundred twelve", and thus it is an aban number.
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