Base | Representation |
---|---|
bin | 1100000010100… |
… | …10101100100111 |
3 | 21001001102201200 |
4 | 12001102230213 |
5 | 201324031043 |
6 | 14004453543 |
7 | 2334334353 |
oct | 601225447 |
9 | 231042650 |
10 | 101002023 |
11 | 52016351 |
12 | 299aa2b3 |
13 | 17c04915 |
14 | d5b2463 |
15 | 8d017d3 |
hex | 6052b27 |
101002023 has 6 divisors (see below), whose sum is σ = 145891824. Its totient is φ = 67334676.
The previous prime is 101002021. The next prime is 101002037. The reversal of 101002023 is 320200101.
It is a happy number.
It is not a de Polignac number, because 101002023 - 21 = 101002021 is a prime.
It is a super-3 number, since 3×1010020233 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222447 = 101002023 / (1 + 0 + 1 + 0 + 0 + 2 + 0 + 2 + 3).
It is a junction number, because it is equal to n+sod(n) for n = 101001996 and 101002014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101002021) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611215 + ... + 5611232.
It is an arithmetic number, because the mean of its divisors is an integer number (24315304).
Almost surely, 2101002023 is an apocalyptic number.
101002023 is a deficient number, since it is larger than the sum of its proper divisors (44889801).
101002023 is a wasteful number, since it uses less digits than its factorization.
101002023 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11222453 (or 11222450 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 101002023 is about 10049.9762686287. The cubic root of 101002023 is about 465.7040600435.
Adding to 101002023 its reverse (320200101), we get a palindrome (421202124).
The spelling of 101002023 in words is "one hundred one million, two thousand, twenty-three".
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