Base | Representation |
---|---|
bin | 11101101100100010011… |
… | …00101010011100001000 |
3 | 10121112200110212100211111 |
4 | 32312101030222130020 |
5 | 113204130333440112 |
6 | 2100423401140104 |
7 | 133501025436430 |
oct | 16662114523410 |
9 | 3545613770744 |
10 | 1020343265032 |
11 | 3637a819a023 |
12 | 1458baa8a634 |
13 | 752aab0bc80 |
14 | 375561652c0 |
15 | 1b81c6da5a7 |
hex | ed9132a708 |
1020343265032 has 128 divisors (see below), whose sum is σ = 2432592691200. Its totient is φ = 390310099200.
The previous prime is 1020343265023. The next prime is 1020343265069. The reversal of 1020343265032 is 2305623430201.
It is a super-3 number, since 3×10203432650323 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (31).
It is a junction number, because it is equal to n+sod(n) for n = 1020343264985 and 1020343265003.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28395157 + ... + 28431067.
It is an arithmetic number, because the mean of its divisors is an integer number (19004630400).
Almost surely, 21020343265032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1020343265032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216296345600).
1020343265032 is an abundant number, since it is smaller than the sum of its proper divisors (1412249426168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1020343265032 is a wasteful number, since it uses less digits than its factorization.
1020343265032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37227 (or 37223 counting only the distinct ones).
The product of its (nonzero) digits is 25920, while the sum is 31.
Adding to 1020343265032 its reverse (2305623430201), we get a palindrome (3325966695233).
The spelling of 1020343265032 in words is "one trillion, twenty billion, three hundred forty-three million, two hundred sixty-five thousand, thirty-two".
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