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2023211133 = 32417375109
BaseRepresentation
bin111100010010111…
…1100000001111101
312020000000202220200
41320211330001331
513120420224013
6532432234113
7101065003506
oct17045740175
95200022820
102023211133
11949060519
1248569b939
13263213268
141529bbbad
15bc949e73
hex7897c07d

2023211133 has 24 divisors (see below), whose sum is σ = 3034744440. Its totient is φ = 1297866240.

The previous prime is 2023211131. The next prime is 2023211137. The reversal of 2023211133 is 3311123202.

It can be written as a sum of positive squares in 4 ways, for example, as 257698809 + 1765512324 = 16053^2 + 42018^2 .

It is not a de Polignac number, because 2023211133 - 21 = 2023211131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023211131) 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, 10618 + ... + 64491.

It is an arithmetic number, because the mean of its divisors is an integer number (126447685).

Almost surely, 22023211133 is an apocalyptic number.

It is an amenable number.

2023211133 is a deficient number, since it is larger than the sum of its proper divisors (1011533307).

2023211133 is a wasteful number, since it uses less digits than its factorization.

2023211133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75229 (or 75226 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2023211133 is about 44980.1193084234. The cubic root of 2023211133 is about 1264.7763477394.

Adding to 2023211133 its reverse (3311123202), we get a palindrome (5334334335).

The spelling of 2023211133 in words is "two billion, twenty-three million, two hundred eleven thousand, one hundred thirty-three".

Divisors: 1 3 9 41 73 123 219 369 657 2993 8979 26937 75109 225327 675981 3079469 5482957 9238407 16448871 27715221 49346613 224801237 674403711 2023211133