Base | Representation |
---|---|
bin | 11101011111101011111… |
… | …01001101000100100001 |
3 | 10120212212122021001021100 |
4 | 32233311331031010201 |
5 | 113101013101324201 |
6 | 2053323013145013 |
7 | 133135036653411 |
oct | 16576575150441 |
9 | 3525778231240 |
10 | 1013443776801 |
11 | 360887656435 |
12 | 1444b432b169 |
13 | 7474b598761 |
14 | 3709dad0641 |
15 | 1b566b27886 |
hex | ebf5f4d121 |
1013443776801 has 12 divisors (see below), whose sum is σ = 1465258731300. Its totient is φ = 674985108480.
The previous prime is 1013443776713. The next prime is 1013443776809. The reversal of 1013443776801 is 1086773443101.
1013443776801 is a `hidden beast` number, since 1 + 0 + 134 + 437 + 7 + 6 + 80 + 1 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 372765197025 + 640678579776 = 610545^2 + 800424^2 .
It is not a de Polignac number, because 1013443776801 - 217 = 1013443645729 is a prime.
It is not an unprimeable number, because it can be changed into a prime (1013443776809) 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 11 ways as a sum of consecutive naturals, for example, 53663040 + ... + 53681921.
It is an arithmetic number, because the mean of its divisors is an integer number (122104894275).
Almost surely, 21013443776801 is an apocalyptic number.
It is an amenable number.
1013443776801 is a deficient number, since it is larger than the sum of its proper divisors (451814954499).
1013443776801 is a wasteful number, since it uses less digits than its factorization.
1013443776801 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 107346016 (or 107346013 counting only the distinct ones).
The product of its (nonzero) digits is 338688, while the sum is 45.
It can be divided in two parts, 1013443 and 776801, that added together give a square (1790244 = 13382).
The spelling of 1013443776801 in words is "one trillion, thirteen billion, four hundred forty-three million, seven hundred seventy-six thousand, eight hundred one".
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