| Base | Representation |
|---|---|
| bin | 10110111111010111000011… |
| … | …010000100011000001010000 |
| 3 | 111021000010102110220000220222 |
| 4 | 112333113003100203001100 |
| 5 | 101223101013324310000 |
| 6 | 555013444253252212 |
| 7 | 30204015224662364 |
| oct | 2677270320430120 |
| 9 | 437003373800828 |
| 10 | 101111101010000 |
| 11 | 2a242a826172a4 |
| 12 | b410013194068 |
| 13 | 4455974a53c93 |
| 14 | 1ad7b367612a4 |
| 15 | ba51e9b13a85 |
| hex | 5bf5c3423050 |
101111101010000 has 200 divisors, whose sum is σ = 255748884316200. Its totient is φ = 38663161600000.
The previous prime is 101111101009991. The next prime is 101111101010033. The reversal of 101111101010000 is 10101111101.
It can be written as a sum of positive squares in 20 ways, for example, as 81479218709056 + 19631882300944 = 9026584^2 + 4430788^2 .
It is a tau number, because it is divible by the number of its divisors (200).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 101111101010000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27563966 + ... + 31016034.
It is an arithmetic number, because the mean of its divisors is an integer number (1278744421581).
Almost surely, 2101111101010000 is an apocalyptic number.
101111101010000 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 101111101010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127874442158100).
101111101010000 is an abundant number, since it is smaller than the sum of its proper divisors (154637783306200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101111101010000 is a wasteful number, since it uses less digits than its factorization.
101111101010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3452227 (or 3452206 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 8.
Adding to 101111101010000 its reverse (10101111101), we get a palindrome (101121202121101).
The spelling of 101111101010000 in words is "one hundred one trillion, one hundred eleven billion, one hundred one million, ten thousand".
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