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2023210112 = 277111311567
BaseRepresentation
bin111100010010111…
…1011110010000000
312020000000201111212
41320211323302000
513120420210422
6532432225252
7101065000520
oct17045736200
95200021455
102023210112
1194905a780
1248569b228
13263212961
141529bb680
15bc9499e2
hex7897bc80

2023210112 has 128 divisors (see below), whose sum is σ = 5066772480. Its totient is φ = 781747200.

The previous prime is 2023210099. The next prime is 2023210129. The reversal of 2023210112 is 2110123202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290353 + ... + 1291919.

It is an arithmetic number, because the mean of its divisors is an integer number (39584160).

Almost surely, 22023210112 is an apocalyptic number.

2023210112 is a gapful number since it is divisible by the number (22) 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 2023210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533386240).

2023210112 is an abundant number, since it is smaller than the sum of its proper divisors (3043562368).

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

2023210112 is a wasteful number, since it uses less digits than its factorization.

2023210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2023210112 is about 44980.1079589634. The cubic root of 2023210112 is about 1264.7761349858.

Adding to 2023210112 its reverse (2110123202), we get a palindrome (4133333314).

The spelling of 2023210112 in words is "two billion, twenty-three million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 131 154 176 224 262 308 352 448 524 616 704 896 917 1048 1232 1408 1441 1567 1834 2096 2464 2882 3134 3668 4192 4928 5764 6268 7336 8384 9856 10087 10969 11528 12536 14672 16768 17237 20174 21938 23056 25072 29344 34474 40348 43876 46112 50144 58688 68948 80696 87752 92224 100288 117376 120659 137896 161392 175504 184448 200576 205277 241318 275792 322784 351008 410554 482636 551584 645568 702016 821108 965272 1103168 1291136 1404032 1436939 1642216 1930544 2206336 2258047 2873878 3284432 3861088 4516094 5747756 6568864 7722176 9032188 11495512 13137728 15444352 15806329 18064376 22991024 26275456 31612658 36128752 45982048 63225316 72257504 91964096 126450632 144515008 183928192 252901264 289030016 505802528 1011605056 2023210112