Base | Representation |
---|---|
bin | 10010101010100110… |
… | …00101010000010100 |
3 | 221212101021120000000 |
4 | 21111103011100110 |
5 | 131010334001322 |
6 | 4334212451300 |
7 | 503221045026 |
oct | 112523052024 |
9 | 27771246000 |
10 | 10021000212 |
11 | 4282658863 |
12 | 1b38019b30 |
13 | c39160c32 |
14 | 6b0c6c016 |
15 | 3d9b5a3ac |
hex | 2554c5414 |
10021000212 has 192 divisors, whose sum is σ = 27160761600. Its totient is φ = 3233260800.
The previous prime is 10021000181. The next prime is 10021000243. The reversal of 10021000212 is 21200012001.
It is an interprime number because it is at equal distance from previous prime (10021000181) and next prime (10021000243).
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 = 10021000194 and 10021000203.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47492787 + ... + 47492997.
It is an arithmetic number, because the mean of its divisors is an integer number (141462300).
Almost surely, 210021000212 is an apocalyptic number.
10021000212 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 10021000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13580380800).
10021000212 is an abundant number, since it is smaller than the sum of its proper divisors (17139761388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021000212 is an equidigital number, since it uses as much as digits as its factorization.
10021000212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 386 (or 366 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10021000212 its reverse (21200012001), we get a palindrome (31221012213).
The spelling of 10021000212 in words is "ten billion, twenty-one million, two hundred twelve", and thus it is an aban number.
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