| Base | Representation |
|---|---|
| bin | 11101011011100001110… |
| … | …00100110111001000000 |
| 3 | 10120200010001021111112220 |
| 4 | 32231300320212321000 |
| 5 | 113031430031431422 |
| 6 | 2052313301251040 |
| 7 | 133025520253326 |
| oct | 16556070467100 |
| 9 | 3520101244486 |
| 10 | 1011211202112 |
| 11 | 35a9413a7a91 |
| 12 | 143b90703a80 |
| 13 | 74483ba0247 |
| 14 | 36d2b3b3d16 |
| 15 | 1b485b23e5c |
| hex | eb70e26e40 |
1011211202112 has 112 divisors (see below), whose sum is σ = 2739426161472. Its totient is φ = 329026037760.
The previous prime is 1011211202101. The next prime is 1011211202119. The reversal of 1011211202112 is 2112021121101.
It is a happy number.
It is a super-2 number, since 2×10112112021122 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 1011211202091 and 1011211202100.
It is not an unprimeable number, because it can be changed into a prime (1011211202119) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13477662 + ... + 13552482.
It is an arithmetic number, because the mean of its divisors is an integer number (24459162156).
Almost surely, 21011211202112 is an apocalyptic number.
1011211202112 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 1011211202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369713080736).
1011211202112 is an abundant number, since it is smaller than the sum of its proper divisors (1728214959360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1011211202112 is a wasteful number, since it uses less digits than its factorization.
1011211202112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 76516 (or 76506 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 15.
Adding to 1011211202112 its reverse (2112021121101), we get a palindrome (3123232323213).
The spelling of 1011211202112 in words is "one trillion, eleven billion, two hundred eleven million, two hundred two thousand, one hundred twelve".
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