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2023123033332 = 22346244206893
BaseRepresentation
bin11101011100001011100…
…001111001110011110100
321011102000220220122120000
4131130023201321303310
5231121323444031312
64145224311511300
7266110606021302
oct35341341716364
97142026818500
102023123033332
11710002233a95
12288117988530
13118a19c7000b
146dcc3847272
153795cee1adc
hex1d70b879cf4

2023123033332 has 30 divisors (see below), whose sum is σ = 5288843239218. Its totient is φ = 674374344336.

The previous prime is 2023123033247. The next prime is 2023123033333. The reversal of 2023123033332 is 2333303213202.

2023123033332 is a `hidden beast` number, since 2 + 0 + 23 + 1 + 2 + 303 + 3 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1855550698596 + 167572334736 = 1362186^2 + 409356^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2023123033296 and 2023123033305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023123033333) 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 9 ways as a sum of consecutive naturals, for example, 3122103123 + ... + 3122103770.

Almost surely, 22023123033332 is an apocalyptic number.

It is an amenable number.

2023123033332 is an abundant number, since it is smaller than the sum of its proper divisors (3265720205886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2023123033332 is a wasteful number, since it uses less digits than its factorization.

2023123033332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244206909 (or 6244206898 counting only the distinct ones).

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

Adding to 2023123033332 its reverse (2333303213202), we get a palindrome (4356426246534).

The spelling of 2023123033332 in words is "two trillion, twenty-three billion, one hundred twenty-three million, thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 6244206893 12488413786 18732620679 24976827572 37465241358 56197862037 74930482716 112395724074 168593586111 224791448148 337187172222 505780758333 674374344444 1011561516666 2023123033332