Base | Representation |
---|---|
bin | 11101100100111000101… |
… | …10011010000001111001 |
3 | 10121011002012012021012200 |
4 | 32302130112122001321 |
5 | 113122222230320322 |
6 | 2054504015300413 |
7 | 133264155246432 |
oct | 16623426320171 |
9 | 3534065167180 |
10 | 1016235401337 |
11 | 361a8a433252 |
12 | 144b5321a709 |
13 | 74aa4a526b0 |
14 | 37286774489 |
15 | 1b67bc5a8ac |
hex | ec9c59a079 |
1016235401337 has 12 divisors (see below), whose sum is σ = 1580810624484. Its totient is φ = 625375631520.
The previous prime is 1016235401327. The next prime is 1016235401359. The reversal of 1016235401337 is 7331045326101.
1016235401337 is a `hidden beast` number, since 1 + 0 + 16 + 235 + 401 + 3 + 3 + 7 = 666.
1016235401337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 63432955881 + 952802445456 = 251859^2 + 976116^2 .
It is not a de Polignac number, because 1016235401337 - 28 = 1016235401081 is a prime.
It is a super-3 number, since 3×10162354013373 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (1016235401317) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4342886214 + ... + 4342886447.
It is an arithmetic number, because the mean of its divisors is an integer number (131734218707).
Almost surely, 21016235401337 is an apocalyptic number.
It is an amenable number.
1016235401337 is a deficient number, since it is larger than the sum of its proper divisors (564575223147).
1016235401337 is a wasteful number, since it uses less digits than its factorization.
1016235401337 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8685772680 (or 8685772677 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The spelling of 1016235401337 in words is "one trillion, sixteen billion, two hundred thirty-five million, four hundred one thousand, three hundred thirty-seven".
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