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2023332312100 = 22521114271288993
BaseRepresentation
bin11101011100011000000…
…000001111010000100100
321011102120111201010001111
4131130120000033100210
5231122241032441400
64145301145234404
7266116026612421
oct35343000172044
97142514633044
102023332312100
117100aa384250
12288175a92a04
13118a514257c8
146dd03562d48
15379715803ba
hex1d71800f424

2023332312100 has 72 divisors (see below), whose sum is σ = 4793139656928. Its totient is φ = 735241036800.

The previous prime is 2023332312077. The next prime is 2023332312143. The reversal of 2023332312100 is 12132333202.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 925204 + ... + 2214196.

It is an arithmetic number, because the mean of its divisors is an integer number (66571384124).

Almost surely, 22023332312100 is an apocalyptic number.

2023332312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023332312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396569828464).

2023332312100 is an abundant number, since it is smaller than the sum of its proper divisors (2769807344828).

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

2023332312100 is a wasteful number, since it uses less digits than its factorization.

2023332312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290445 (or 1290438 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2023332312100 its reverse (12132333202), we get a palindrome (2035464645302).

The spelling of 2023332312100 in words is "two trillion, twenty-three billion, three hundred thirty-two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1427 2854 5708 7135 14270 15697 28540 31394 35675 62788 71350 78485 142700 156970 313940 392425 784850 1288993 1569700 2577986 5155972 6444965 12889930 14178923 25779860 28357846 32224825 56715692 64449650 70894615 128899300 141789230 283578460 354473075 708946150 1417892300 1839393011 3678786022 7357572044 9196965055 18393930110 20233323121 36787860220 40466646242 45984825275 80933292484 91969650550 101166615605 183939301100 202333231210 404666462420 505833078025 1011666156050 2023332312100