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112120121102202 = 2321710728571198583
BaseRepresentation
bin11001011111100011111111…
…111111011000111101111010
3112200222120122000102212120100
4121133203333333120331322
5104143434002000232302
61034243134512540230
732421261056531643
oct3137437777307572
9480876560385510
10112120121102202
11327a797043aa64
12106a9769851676
134a73b60b416a5
141d988ddc5c6ca
15ce677d117d1c
hex65f8fffd8f7a

112120121102202 has 96 divisors (see below), whose sum is σ = 259711731706752. Its totient is φ = 34833976353792.

The previous prime is 112120121102183. The next prime is 112120121102279. The reversal of 112120121102202 is 202201121021211.

112120121102202 is a `hidden beast` number, since 11 + 21 + 201 + 211 + 0 + 220 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92944603 + ... + 94143185.

It is an arithmetic number, because the mean of its divisors is an integer number (2705330538612).

Almost surely, 2112120121102202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112120121102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129855865853376).

112120121102202 is an abundant number, since it is smaller than the sum of its proper divisors (147591610604550).

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

112120121102202 is a wasteful number, since it uses less digits than its factorization.

112120121102202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201572 (or 1201569 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112120121102202 its reverse (202201121021211), we get a palindrome (314321242123413).

The spelling of 112120121102202 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred twenty-one million, one hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 107 153 214 306 321 642 963 1819 1926 2857 3638 5457 5714 8571 10914 16371 17142 25713 32742 48569 51426 97138 145707 291414 305699 437121 611398 874242 917097 1198583 1834194 2397166 2751291 3595749 5196883 5502582 7191498 10393766 10787247 15590649 20375911 21574494 31181298 40751822 46771947 61127733 93543894 122255466 128248381 183383199 256496762 366766398 384745143 769490286 1154235429 2180222477 2308470858 3424351631 4360444954 6540667431 6848703262 10273054893 13081334862 19622002293 20546109786 30819164679 39244004586 58213977727 61638329358 116427955454 174641933181 349283866362 366405624517 523925799543 732811249034 1047851599086 1099216873551 2198433747102 3297650620653 6228895616789 6595301241306 12457791233578 18686686850367 37373373700734 56060060551101 112120121102202