Base | Representation |
---|---|
bin | 11101001100101000000… |
… | …10101001011101000111 |
3 | 10112220110111200022100121 |
4 | 32212110002221131013 |
5 | 112414034020231043 |
6 | 2044511355322411 |
7 | 132323335445344 |
oct | 16462402513507 |
9 | 3486414608317 |
10 | 1003211102023 |
11 | 357506571419 |
12 | 142519450407 |
13 | 737aa623700 |
14 | 367acac17cb |
15 | 1b168608ded |
hex | e9940a9747 |
1003211102023 has 48 divisors (see below), whose sum is σ = 1195701972480. Its totient is φ = 837405309312.
The previous prime is 1003211101999. The next prime is 1003211102041. The reversal of 1003211102023 is 3202011123001.
It is a de Polignac number, because none of the positive numbers 2k-1003211102023 is a prime.
It is a super-2 number, since 2×10032111020232 (a number of 25 digits) contains 22 as substring.
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 1003211101988 and 1003211102006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1003211102623) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35952465 + ... + 35980357.
It is an arithmetic number, because the mean of its divisors is an integer number (24910457760).
Almost surely, 21003211102023 is an apocalyptic number.
1003211102023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
1003211102023 is a deficient number, since it is larger than the sum of its proper divisors (192490870457).
1003211102023 is a wasteful number, since it uses less digits than its factorization.
1003211102023 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28448 (or 28435 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 1003211102023 its reverse (3202011123001), we get a palindrome (4205222225024).
The spelling of 1003211102023 in words is "one trillion, three billion, two hundred eleven million, one hundred two thousand, twenty-three".
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