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2023133120 = 26579191419
BaseRepresentation
bin111100010010110…
…1000111111000000
312012222212210220022
41320211220333000
513120410224440
6532430433012
7101064230201
oct17045507700
95188783808
102023133120
11949007948
12485662768
132631b68b8
1415299b5a8
15bc931cb5
hex78968fc0

2023133120 has 112 divisors (see below), whose sum is σ = 4915814400. Its totient is φ = 792929280.

The previous prime is 2023133117. The next prime is 2023133141. The reversal of 2023133120 is 213313202.

It is a congruent number.

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, 4828271 + ... + 4828689.

It is an arithmetic number, because the mean of its divisors is an integer number (43891200).

Almost surely, 22023133120 is an apocalyptic number.

2023133120 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 2023133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457907200).

2023133120 is an abundant number, since it is smaller than the sum of its proper divisors (2892681280).

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

2023133120 is a wasteful number, since it uses less digits than its factorization.

2023133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2023133120 is about 44979.2521058321. The cubic root of 2023133120 is about 1264.7600913597.

Adding to 2023133120 its reverse (213313202), we get a palindrome (2236446322).

The spelling of 2023133120 in words is "two billion, twenty-three million, one hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 191 316 320 382 395 419 632 764 790 838 955 1264 1528 1580 1676 1910 2095 2528 3056 3160 3352 3820 4190 5056 6112 6320 6704 7640 8380 12224 12640 13408 15089 15280 16760 25280 26816 30178 30560 33101 33520 60356 61120 66202 67040 75445 80029 120712 132404 134080 150890 160058 165505 241424 264808 301780 320116 331010 400145 482848 529616 603560 640232 662020 800290 965696 1059232 1207120 1280464 1324040 1600580 2118464 2414240 2560928 2648080 3201160 4828480 5121856 5296160 6322291 6402320 10592320 12644582 12804640 25289164 25609280 31611455 50578328 63222910 101156656 126445820 202313312 252891640 404626624 505783280 1011566560 2023133120