| Base | Representation |
|---|---|
| bin | 10110111111001100101110… |
| … | …001011101111100101111000 |
| 3 | 111020222001210112012220112020 |
| 4 | 112333030232023233211320 |
| 5 | 101222410310030323000 |
| 6 | 555004411534514440 |
| 7 | 30203143332023340 |
| oct | 2677145613574570 |
| 9 | 436861715186466 |
| 10 | 101100010011000 |
| 11 | 2a239300a85620 |
| 12 | b409a38965a20 |
| 13 | 44548c8017a90 |
| 14 | 1ad73a3763d20 |
| 15 | ba4c9b09bba0 |
| hex | 5bf32e2ef978 |
101100010011000 has 1024 divisors, whose sum is σ = 434964019875840. Its totient is φ = 18867686400000.
The previous prime is 101100010010999. The next prime is 101100010011019. The reversal of 101100010011000 is 110010001101.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a self number, because there is not a number n which added to its sum of digits gives 101100010011000.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 110656050 + ... + 111565950.
It is an arithmetic number, because the mean of its divisors is an integer number (424769550660).
Almost surely, 2101100010011000 is an apocalyptic number.
101100010011000 is a gapful number since it is divisible by the number (10) 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 101100010011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217482009937920).
101100010011000 is an abundant number, since it is smaller than the sum of its proper divisors (333864009864840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101100010011000 is a wasteful number, since it uses less digits than its factorization.
101100010011000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 909993 (or 909979 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 101100010011000 its reverse (110010001101), we get a palindrome (101210020012101).
The spelling of 101100010011000 in words is "one hundred one trillion, one hundred billion, ten million, eleven thousand".
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