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112121021208 = 23376144324697
BaseRepresentation
bin110100001101011101…
…1110000001100011000
3101201101220111000111010
41220122323300030120
53314110440134313
6123301354333520
711046314645520
oct1503273601430
9351356430433
10112121021208
11436064367a9
121989112a2a0
13a75aa67c41
1455d8b82680
152db34134c3
hex1a1aef0318

112121021208 has 128 divisors (see below), whose sum is σ = 326345541120. Its totient is φ = 31437020160.

The previous prime is 112121021197. The next prime is 112121021209. The reversal of 112121021208 is 802120121211.

It is a super-2 number, since 2×1121210212082 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121021209) by changing a digit.

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, 4527516 + ... + 4552212.

It is an arithmetic number, because the mean of its divisors is an integer number (2549574540).

Almost surely, 2112121021208 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 112121021208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163172770560).

112121021208 is an abundant number, since it is smaller than the sum of its proper divisors (214224519912).

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

112121021208 is a wasteful number, since it uses less digits than its factorization.

112121021208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25217 (or 25213 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 112121021208 its reverse (802120121211), we get a palindrome (914241142419).

The spelling of 112121021208 in words is "one hundred twelve billion, one hundred twenty-one million, twenty-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 443 488 732 854 886 1281 1329 1464 1708 1772 2562 2658 3101 3416 3544 5124 5316 6202 9303 10248 10632 12404 18606 24697 24808 27023 37212 49394 54046 74091 74424 81069 98788 108092 148182 162138 172879 189161 197576 216184 296364 324276 345758 378322 518637 567483 592728 648552 691516 756644 1037274 1134966 1383032 1506517 1513288 2074548 2269932 3013034 4149096 4519551 4539864 6026068 9039102 10545619 10940771 12052136 18078204 21091238 21881542 31636857 32822313 36156408 42182476 43763084 63273714 65644626 76585397 84364952 87526168 126547428 131289252 153170794 229756191 253094856 262578504 306341588 459512382 612683176 667387031 919024764 1334774062 1838049528 2002161093 2669548124 4004322186 4671709217 5339096248 8008644372 9343418434 14015127651 16017288744 18686836868 28030255302 37373673736 56060510604 112121021208