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2112113124 = 22331112713999
BaseRepresentation
bin111110111100100…
…0100100111100100
312110012022110112000
41331321010213210
513311200104444
6545325525300
7103224444132
oct17571044744
95405273460
102112113124
11994261940
124ab413830
1327876c4a4
14160720752
15c565b469
hex7de449e4

2112113124 has 96 divisors (see below), whose sum is σ = 6021120000. Its totient is φ = 634949280.

The previous prime is 2112113083. The next prime is 2112113137. The reversal of 2112113124 is 4213112112.

It is a super-2 number, since 2×21121131242 = 8922043697146078752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2112113097 and 2112113106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143877 + ... + 157875.

It is an arithmetic number, because the mean of its divisors is an integer number (62720000).

Almost surely, 22112113124 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 2112113124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010560000).

2112113124 is an abundant number, since it is smaller than the sum of its proper divisors (3909006876).

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

2112113124 is a wasteful number, since it uses less digits than its factorization.

2112113124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14150 (or 14142 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 2112113124 is about 45957.7319283709. The cubic root of 2112113124 is about 1283.0366387304.

Adding to 2112113124 its reverse (4213112112), we get a palindrome (6325225236).

The spelling of 2112113124 in words is "two billion, one hundred twelve million, one hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 127 132 198 254 297 381 396 508 594 762 1143 1188 1397 1524 2286 2794 3429 4191 4572 5588 6858 8382 12573 13716 13999 16764 25146 27998 37719 41997 50292 55996 75438 83994 125991 150876 153989 167988 251982 307978 377973 461967 503964 615956 755946 923934 1385901 1511892 1777873 1847868 2771802 3555746 4157703 5333619 5543604 7111492 8315406 10667238 16000857 16630812 19556603 21334476 32001714 39113206 48002571 58669809 64003428 78226412 96005142 117339618 176009427 192010284 234679236 352018854 528028281 704037708 1056056562 2112113124