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2023102013211 = 33544313766251
BaseRepresentation
bin11101011100001010010…
…001101101111100011011
321011101222110100201101000
4131130022101231330123
5231121303103410321
64145222241200043
7266110232243166
oct35341221557433
97141873321330
102023102013211
1170aaa1387294
12288110930023
13118a157c0486
146dcc0b34add
153795b23d826
hex1d70a46df1b

2023102013211 has 16 divisors (see below), whose sum is σ = 2997739035520. Its totient is φ = 1348486785000.

The previous prime is 2023102013203. The next prime is 2023102013237. The reversal of 2023102013211 is 1123102013202.

2023102013211 is a `hidden beast` number, since 20 + 231 + 0 + 201 + 3 + 211 = 666.

It is not a de Polignac number, because 2023102013211 - 23 = 2023102013203 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2023102011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6736165 + ... + 7030086.

It is an arithmetic number, because the mean of its divisors is an integer number (187358689720).

Almost surely, 22023102013211 is an apocalyptic number.

2023102013211 is a deficient number, since it is larger than the sum of its proper divisors (974637022309).

2023102013211 is a wasteful number, since it uses less digits than its factorization.

2023102013211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13771703 (or 13771697 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2023102013211 its reverse (1123102013202), we get a palindrome (3146204026413).

Subtracting from 2023102013211 its reverse (1123102013202), we obtain a palindrome (900000000009).

The spelling of 2023102013211 in words is "two trillion, twenty-three billion, one hundred two million, thirteen thousand, two hundred eleven".

Divisors: 1 3 9 27 5443 16329 48987 146961 13766251 41298753 123896259 371688777 74929704193 224789112579 674367337737 2023102013211