Base | Representation |
---|---|
bin | 11101001010011010011… |
… | …10100110110011000100 |
3 | 10112210101201011020120200 |
4 | 32211031032212303010 |
5 | 112404120400221112 |
6 | 2044153435330500 |
7 | 132252031301133 |
oct | 16451516466304 |
9 | 3483351136520 |
10 | 1002023054532 |
11 | 356a56989795 |
12 | 1422475b0a30 |
13 | 7364b455726 |
14 | 366d8dc391a |
15 | 1b0e917ecdc |
hex | e94d3a6cc4 |
1002023054532 has 36 divisors (see below), whose sum is σ = 2535278974956. Its totient is φ = 333692867520.
The previous prime is 1002023054531. The next prime is 1002023054537. The reversal of 1002023054532 is 2354503202001.
It is a happy number.
1002023054532 is a `hidden beast` number, since 1 + 0 + 0 + 202 + 3 + 0 + 5 + 453 + 2 = 666.
1002023054532 is digitally balanced in base 2 and base 4, because in such bases 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 405442921536 + 596580132996 = 636744^2 + 772386^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a junction number, because it is equal to n+sod(n) for n = 1002023054496 and 1002023054505.
It is not an unprimeable number, because it can be changed into a prime (1002023054531) 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, 13078663 + ... + 13155054.
It is an arithmetic number, because the mean of its divisors is an integer number (70424415971).
Almost surely, 21002023054532 is an apocalyptic number.
1002023054532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1002023054532 is an abundant number, since it is smaller than the sum of its proper divisors (1533255920424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002023054532 is a wasteful number, since it uses less digits than its factorization.
1002023054532 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 26234788 (or 26234783 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
Adding to 1002023054532 its reverse (2354503202001), we get a palindrome (3356526256533).
The spelling of 1002023054532 in words is "one trillion, two billion, twenty-three million, fifty-four thousand, five hundred thirty-two".
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