Base | Representation |
---|---|
bin | 10110111111001101101001… |
… | …001100010000001000000000 |
3 | 111020222011100112001120010111 |
4 | 112333031221030100020000 |
5 | 101222414322000000000 |
6 | 555005054101441104 |
7 | 30203210012550550 |
oct | 2677155114201000 |
9 | 436864315046114 |
10 | 101101000000000 |
11 | 2a239769890a50 |
12 | b40a074410194 |
13 | 4454a2515b3a0 |
14 | 1ad7459027160 |
15 | ba4d07e51cba |
hex | 5bf369310200 |
101101000000000 has 1600 divisors, whose sum is σ = 342385277439744. Its totient is φ = 28800000000000.
The previous prime is 101100999999997. The next prime is 101101000000079. The reversal of 101101000000000 is 101101.
It is a tau number, because it is divible by the number of its divisors (1600).
It is a Harshad number since it is a multiple of its sum of digits (4).
It is a congruent number.
It is an unprimeable number.
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 159 ways as a sum of consecutive naturals, for example, 1000999999950 + ... + 1001000000050.
Almost surely, 2101101000000000 is an apocalyptic number.
101101000000000 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 101101000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171192638719872).
101101000000000 is an abundant number, since it is smaller than the sum of its proper divisors (241284277439744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101101000000000 is an frugal number, since it uses more digits than its factorization.
101101000000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 195 (or 139 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 4.
Adding to 101101000000000 its reverse (101101), we get a palindrome (101101000101101).
101101000000000 divided by its reverse (101101) gives a 9-th power (1000000000 = 109).
It can be divided in two parts, 101 and 101000000000, that added together give a palindrome (101000000101).
The spelling of 101101000000000 in words is "one hundred one trillion, one hundred one billion", and thus it is an aban number.
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