| Base | Representation |
|---|---|
| bin | 101111111110011110000000… |
| … | …010100000101100111000100 |
| 3 | 1000200002111111020211221110200 |
| 4 | 233332132000110011213010 |
| 5 | 210124020032320200400 |
| 6 | 2024432305404250500 |
| 7 | 62305214516642634 |
| oct | 5776360024054704 |
| 9 | 1020074436757420 |
| 10 | 211001011100100 |
| 11 | 61260031a87781 |
| 12 | 1b7b94ab840a30 |
| 13 | 9097405008600 |
| 14 | 3a167095966c4 |
| 15 | 195d9493bdb00 |
| hex | bfe7805059c4 |
211001011100100 has 648 divisors, whose sum is σ = 722131086949272. Its totient is φ = 51507136512000.
The previous prime is 211001011100021. The next prime is 211001011100101. The reversal of 211001011100100 is 1001110100112.
It can be written as a sum of positive squares in 36 ways, for example, as 133564988649024 + 77436022451076 = 11557032^2 + 8799774^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (211001011100101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10551623302 + ... + 10551643298.
It is an arithmetic number, because the mean of its divisors is an integer number (1114399825539).
Almost surely, 2211001011100100 is an apocalyptic number.
211001011100100 is a gapful number since it is divisible by the number (20) 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 211001011100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361065543474636).
211001011100100 is an abundant number, since it is smaller than the sum of its proper divisors (511130075849172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211001011100100 is a wasteful number, since it uses less digits than its factorization.
211001011100100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20617 (or 20594 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 9.
Adding to 211001011100100 its reverse (1001110100112), we get a palindrome (212002121200212).
The spelling of 211001011100100 in words is "two hundred eleven trillion, one billion, eleven million, one hundred thousand, one hundred".
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