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2023223332133 = 471272477136841
BaseRepresentation
bin11101011100010001100…
…000100000110100100101
321011102021220122100122102
4131130101200200310211
5231122030133112013
64145242253341445
7266113234366523
oct35342140406445
97142256570572
102023223332133
11710053909a63
12288145497885
13118a34989813
146dcd2cb5313
1537966c04d58
hex1d711820d25

2023223332133 has 16 divisors (see below), whose sum is σ = 2083396460544. Its totient is φ = 1963776608640.

The previous prime is 2023223332129. The next prime is 2023223332139. The reversal of 2023223332133 is 3312333223202.

It is a cyclic number.

It is not a de Polignac number, because 2023223332133 - 22 = 2023223332129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2023223332096 and 2023223332105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023223332139) 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 15 ways as a sum of consecutive naturals, for example, 14716793 + ... + 14853633.

It is an arithmetic number, because the mean of its divisors is an integer number (130212278784).

Almost surely, 22023223332133 is an apocalyptic number.

It is an amenable number.

2023223332133 is a deficient number, since it is larger than the sum of its proper divisors (60173128411).

2023223332133 is a wasteful number, since it uses less digits than its factorization.

2023223332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139492.

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 2023223332133 its reverse (3312333223202), we get a palindrome (5335556555335).

The spelling of 2023223332133 in words is "two trillion, twenty-three billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 47 127 2477 5969 116419 136841 314579 6431527 14785213 17378807 338955157 816803929 15930892379 43047304939 2023223332133