Base | Representation |
---|---|
bin | 1001000110000101101110… |
… | …0011111001011110100100 |
3 | 1022102000022112012112010110 |
4 | 2101201123203321132210 |
5 | 2302320422310032322 |
6 | 33134012044253020 |
7 | 2051330526340206 |
oct | 221413343713644 |
9 | 38360275175113 |
10 | 10000220002212 |
11 | 3206084538a30 |
12 | 1156139541170 |
13 | 57702a8c6c4b |
14 | 26802843a776 |
15 | 1251de3edc0c |
hex | 9185b8f97a4 |
10000220002212 has 288 divisors, whose sum is σ = 26844997882752. Its totient is φ = 2871327744000.
The previous prime is 10000220002163. The next prime is 10000220002231. The reversal of 10000220002212 is 21220002200001.
10000220002212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8382413488 + ... + 8382414680.
It is an arithmetic number, because the mean of its divisors is an integer number (93211798204).
Almost surely, 210000220002212 is an apocalyptic number.
10000220002212 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 10000220002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422498941376).
10000220002212 is an abundant number, since it is smaller than the sum of its proper divisors (16844777880540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000220002212 is a wasteful number, since it uses less digits than its factorization.
10000220002212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2351 (or 2308 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 10000220002212 its reverse (21220002200001), we get a palindrome (31220222202213).
The spelling of 10000220002212 in words is "ten trillion, two hundred twenty million, two thousand, two hundred twelve".
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