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2023133013 = 321153385579
BaseRepresentation
bin111100010010110…
…1000111101010101
312012222212210202100
41320211220331111
513120410224023
6532430432313
7101064226656
oct17045507525
95188783670
102023133013
11949007860
12485662699
132631b6835
1415299b52d
15bc931c43
hex78968f55

2023133013 has 24 divisors (see below), whose sum is σ = 3248125920. Its totient is φ = 1203003360.

The previous prime is 2023133009. The next prime is 2023133029. The reversal of 2023133013 is 3103313202.

It is not a de Polignac number, because 2023133013 - 22 = 2023133009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023133033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187543 + ... + 198036.

It is an arithmetic number, because the mean of its divisors is an integer number (135338580).

Almost surely, 22023133013 is an apocalyptic number.

It is an amenable number.

2023133013 is a deficient number, since it is larger than the sum of its proper divisors (1224992907).

2023133013 is a wasteful number, since it uses less digits than its factorization.

2023133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385649 (or 385646 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2023133013 is about 44979.2509163948. The cubic root of 2023133013 is about 1264.7600690627.

Adding to 2023133013 its reverse (3103313202), we get a palindrome (5126446215).

The spelling of 2023133013 in words is "two billion, twenty-three million, one hundred thirty-three thousand, thirteen".

Divisors: 1 3 9 11 33 53 99 159 477 583 1749 5247 385579 1156737 3470211 4241369 12724107 20435687 38172321 61307061 183921183 224792557 674377671 2023133013