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2023013232333 = 32292267276157
BaseRepresentation
bin11101011100000100111…
…111000010111011001101
321011101202021022011220100
4131130010333002323031
5231121112341413313
64145205350241313
7266105103515622
oct35340477027315
97141667264810
102023013232333
1170aa56258965
122880a7056239
13118a002a7402
146dcb3024349
1537953553173
hex1d704fc2ecd

2023013232333 has 18 divisors (see below), whose sum is σ = 3026367937034. Its totient is φ = 1302169432032.

The previous prime is 2023013232313. The next prime is 2023013232337. The reversal of 2023013232333 is 3332323103202.

2023013232333 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 0 + 1 + 323 + 2 + 333 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 954525092004 + 1068488140329 = 976998^2 + 1033677^2 .

It is not a de Polignac number, because 2023013232333 - 25 = 2023013232301 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2023013232297 and 2023013232306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023013232337) 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 17 ways as a sum of consecutive naturals, for example, 133630510 + ... + 133645647.

Almost surely, 22023013232333 is an apocalyptic number.

It is an amenable number.

2023013232333 is a deficient number, since it is larger than the sum of its proper divisors (1003354704701).

2023013232333 is a wasteful number, since it uses less digits than its factorization.

2023013232333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267276221 (or 267276189 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 2023013232333 its reverse (3332323103202), we get a palindrome (5355336335535).

The spelling of 2023013232333 in words is "two trillion, twenty-three billion, thirteen million, two hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 29 87 261 841 2523 7569 267276157 801828471 2405485413 7751008553 23253025659 69759076977 224779248037 674337744111 2023013232333