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2023121112100 = 225211101180110111
BaseRepresentation
bin11101011100001011011…
…010100100110000100100
321011102000210022001010021
4131130023122210300210
5231121323001041400
64145224202404524
7266110553500114
oct35341332446044
97142023261107
102023121112100
117100011415a0
12288117200744
13118a197496aa
146dcc34a7044
153795cc6271a
hex1d70b6a4c24

2023121112100 has 144 divisors (see below), whose sum is σ = 4839862228992. Its totient is φ = 727920000000.

The previous prime is 2023121112083. The next prime is 2023121112151. The reversal of 2023121112100 is 12111213202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200086045 + ... + 200096155.

It is an arithmetic number, because the mean of its divisors is an integer number (33610154368).

Almost surely, 22023121112100 is an apocalyptic number.

2023121112100 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 2023121112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419931114496).

2023121112100 is an abundant number, since it is smaller than the sum of its proper divisors (2816741116892).

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

2023121112100 is a wasteful number, since it uses less digits than its factorization.

2023121112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038 (or 12031 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2023121112100 its reverse (12111213202), we get a palindrome (2035232325302).

The spelling of 2023121112100 in words is "two trillion, twenty-three billion, one hundred twenty-one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 1801 2020 2222 2525 3602 4444 5050 5555 7204 9005 10100 10111 11110 18010 19811 20222 22220 27775 36020 39622 40444 45025 50555 55550 79244 90050 99055 101110 111100 111221 180100 181901 198110 202220 222442 252775 363802 396220 444884 495275 505550 556105 727604 909505 990550 1011100 1021211 1112210 1819010 1981100 2000911 2042422 2224420 2780525 3638020 4001822 4084844 4547525 5106055 5561050 8003644 9095050 10004555 10212110 11122100 11233321 18190100 18209911 20009110 20424220 22466642 25530275 36419822 40018220 44933284 50022775 51060550 56166605 72839644 91049555 100045550 102121100 112333210 182099110 200091100 200309021 224666420 280833025 364198220 400618042 455247775 561666050 801236084 910495550 1001545105 1123332100 1820991100 1839201011 2003090210 3678402022 4006180420 5007725525 7356804044 9196005055 10015451050 18392010110 20030902100 20231211121 36784020220 40462422242 45980025275 80924844484 91960050550 101156055605 183920101100 202312111210 404624222420 505780278025 1011560556050 2023121112100