Base | Representation |
---|---|
bin | 11101110010000010000… |
… | …01011110100101111010 |
3 | 10121211022001112200011000 |
4 | 32321001001132211322 |
5 | 113231201014413223 |
6 | 2102032214545430 |
7 | 133634105013312 |
oct | 16710101364572 |
9 | 3554261480130 |
10 | 1023293122938 |
11 | 364a81321a19 |
12 | 1463a2968276 |
13 | 7565acb8518 |
14 | 37755c38442 |
15 | 1b941677543 |
hex | ee4105e97a |
1023293122938 has 32 divisors (see below), whose sum is σ = 2407748526720. Its totient is φ = 321033136320.
The previous prime is 1023293122933. The next prime is 1023293122939. The reversal of 1023293122938 is 8392213923201.
1023293122938 is a `hidden beast` number, since 1 + 0 + 2 + 329 + 31 + 2 + 293 + 8 = 666.
1023293122938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 1023293122893 and 1023293122902.
It is not an unprimeable number, because it can be changed into a prime (1023293122931) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557348278 + ... + 557350113.
It is an arithmetic number, because the mean of its divisors is an integer number (75242141460).
Almost surely, 21023293122938 is an apocalyptic number.
1023293122938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
1023293122938 is an abundant number, since it is smaller than the sum of its proper divisors (1384455403782).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023293122938 is a wasteful number, since it uses less digits than its factorization.
1023293122938 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1114698419 (or 1114698413 counting only the distinct ones).
The product of its (nonzero) digits is 279936, while the sum is 45.
The spelling of 1023293122938 in words is "one trillion, twenty-three billion, two hundred ninety-three million, one hundred twenty-two thousand, nine hundred thirty-eight".
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