Base | Representation |
---|---|
bin | 10010101000000110… |
… | …10111001101000100 |
3 | 221210220221211100000 |
4 | 21110003113031010 |
5 | 130440011232322 |
6 | 4332144521300 |
7 | 502545315642 |
oct | 112403271504 |
9 | 27726854300 |
10 | 10000102212 |
11 | 4271884891 |
12 | 1b31020230 |
13 | c34a24b59 |
14 | 6ac18c192 |
15 | 3d7dcd3ac |
hex | 2540d7344 |
10000102212 has 144 divisors (see below), whose sum is σ = 26968032000. Its totient is φ = 3238237440.
The previous prime is 10000102201. The next prime is 10000102241. The reversal of 10000102212 is 21220100001.
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 = 10000102194 and 10000102203.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13907989 + ... + 13908707.
It is an arithmetic number, because the mean of its divisors is an integer number (187278000).
Almost surely, 210000102212 is an apocalyptic number.
10000102212 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 10000102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484016000).
10000102212 is an abundant number, since it is smaller than the sum of its proper divisors (16967929788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000102212 is a wasteful number, since it uses less digits than its factorization.
10000102212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1128 (or 1114 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10000102212 its reverse (21220100001), we get a palindrome (31220202213).
The spelling of 10000102212 in words is "ten billion, one hundred two thousand, two hundred twelve".
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