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2023102333312 = 2747439776481
BaseRepresentation
bin11101011100001010010…
…010111100000110000000
321011101222110221222110121
4131130022102330012000
5231121303144131222
64145222252110024
7266110235045344
oct35341222740600
97141873858417
102023102333312
1170aaa1585835
12288110a65314
13118a158a3098
146dcc0bb9624
153795b2a35c7
hex1d70a4bc180

2023102333312 has 64 divisors (see below), whose sum is σ = 4117142312640. Its totient is φ = 989790699520.

The previous prime is 2023102333303. The next prime is 2023102333327. The reversal of 2023102333312 is 2133332013202.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26414112 + ... + 26490592.

It is an arithmetic number, because the mean of its divisors is an integer number (64330348635).

Almost surely, 22023102333312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023102333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058571156320).

2023102333312 is an abundant number, since it is smaller than the sum of its proper divisors (2094039979328).

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

2023102333312 is an equidigital number, since it uses as much as digits as its factorization.

2023102333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80939 (or 80927 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 2023102333312 its reverse (2133332013202), we get a palindrome (4156434346514).

The spelling of 2023102333312 in words is "two trillion, twenty-three billion, one hundred two million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 4397 6016 8794 17588 35176 70352 76481 140704 152962 206659 281408 305924 413318 562816 611848 826636 1223696 1653272 2447392 3306544 3594607 4894784 6613088 7189214 9789568 13226176 14378428 26452352 28756856 57513712 115027424 230054848 336286957 460109696 672573914 1345147828 2690295656 5380591312 10761182624 15805486979 21522365248 31610973958 43044730496 63221947916 126443895832 252887791664 505775583328 1011551166656 2023102333312