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2023112124 = 22321159131661
BaseRepresentation
bin111100010010110…
…0011110110111100
312012222211202002200
41320211203312330
513120404041444
6532430151500
7101064112035
oct17045436674
95188752080
102023112124
11948aa30a0
12485652590
132631aa187
14152993a8c
15bc92a969
hex78963dbc

2023112124 has 144 divisors (see below), whose sum is σ = 5725399680. Its totient is φ = 597168000.

The previous prime is 2023112107. The next prime is 2023112129. The reversal of 2023112124 is 4212113202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2023112097 and 2023112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023112129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3060354 + ... + 3061014.

It is an arithmetic number, because the mean of its divisors is an integer number (39759720).

Almost surely, 22023112124 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 2023112124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2862699840).

2023112124 is an abundant number, since it is smaller than the sum of its proper divisors (3702287556).

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

2023112124 is a wasteful number, since it uses less digits than its factorization.

2023112124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2023112124 is about 44979.0187087269. The cubic root of 2023112124 is about 1264.7557161336.

Adding to 2023112124 its reverse (4212113202), we get a palindrome (6235225326).

The spelling of 2023112124 in words is "two billion, twenty-three million, one hundred twelve thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 59 66 99 118 131 132 177 198 236 262 354 393 396 524 531 649 661 708 786 1062 1179 1298 1322 1441 1572 1947 1983 2124 2358 2596 2644 2882 3894 3966 4323 4716 5764 5841 5949 7271 7729 7788 7932 8646 11682 11898 12969 14542 15458 17292 21813 23187 23364 23796 25938 29084 30916 38999 43626 46374 51876 65439 69561 77998 85019 86591 87252 92748 116997 130878 139122 155996 170038 173182 233994 255057 259773 261756 278244 340076 346364 350991 428989 467988 510114 519546 701982 765171 779319 857978 952501 1020228 1039092 1286967 1403964 1530342 1558638 1715956 1905002 2573934 2857503 3060684 3117276 3810004 3860901 5108869 5147868 5715006 7721802 8572509 10217738 11430012 15326607 15443604 17145018 20435476 30653214 34290036 45979821 56197559 61306428 91959642 112395118 168592677 183919284 224790236 337185354 505778031 674370708 1011556062 2023112124