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112213334124 = 22397871811
BaseRepresentation
bin110100010000001101…
…1111001100001101100
3101201122100012000000000
41220200123321201230
53314303103142444
6123314453104300
711051515413423
oct1504033714154
9351570160000
10112213334124
1143653557871
12198b8028090
13a773c19878
1456071322ba
152dbb59a469
hex1a206f986c

112213334124 has 120 divisors (see below), whose sum is σ = 295092143808. Its totient is φ = 37336289040.

The previous prime is 112213334119. The next prime is 112213334141. The reversal of 112213334124 is 421433312211.

112213334124 is a `hidden beast` number, since 1 + 1 + 2 + 213 + 33 + 412 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

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 39 ways as a sum of consecutive naturals, for example, 61961179 + ... + 61962989.

Almost surely, 2112213334124 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 112213334124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147546071904).

112213334124 is an abundant number, since it is smaller than the sum of its proper divisors (182878809684).

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

112213334124 is an frugal number, since it uses more digits than its factorization.

112213334124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2603 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 112213334124 its reverse (421433312211), we get a palindrome (533646646335).

The spelling of 112213334124 in words is "one hundred twelve billion, two hundred thirteen million, three hundred thirty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 787 972 1458 1574 1811 2187 2361 2916 3148 3622 4374 4722 5433 6561 7083 7244 8748 9444 10866 13122 14166 16299 19683 21249 21732 26244 28332 32598 39366 42498 48897 63747 65196 78732 84996 97794 127494 146691 191241 195588 254988 293382 382482 440073 573723 586764 764964 880146 1147446 1320219 1425257 1721169 1760292 2294892 2640438 2850514 3442338 3960657 4275771 5163507 5280876 5701028 6884676 7921314 8551542 10327014 11881971 12827313 15490521 15842628 17103084 20654028 23763942 25654626 30981042 35645913 38481939 47527884 51309252 61962084 71291826 76963878 115445817 142583652 153927756 230891634 346337451 461783268 692674902 1039012353 1385349804 2078024706 3117037059 4156049412 6234074118 9351111177 12468148236 18702222354 28053333531 37404444708 56106667062 112213334124