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112130223110112 = 25323320915825371
BaseRepresentation
bin11001011111101101011010…
…000111011111011111100000
3112201000112201001011001020110
4121133231122013133133200
5104144120144104010422
61034251525142011320
732422066313301024
oct3137553207373740
9481015631131213
10112130223110112
1132801184798029
12106ab708a16b40
134a74ab09c656c
141d991bb776384
15ce6b6ee2560c
hex65fb5a1df7e0

112130223110112 has 96 divisors (see below), whose sum is σ = 307235038037760. Its totient is φ = 35740522019840.

The previous prime is 112130223110107. The next prime is 112130223110119. The reversal of 112130223110112 is 211011322031211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112130223110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 827214 + ... + 14998157.

It is an arithmetic number, because the mean of its divisors is an integer number (3200364979560).

Almost surely, 2112130223110112 is an apocalyptic number.

112130223110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112130223110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153617519018880).

112130223110112 is an abundant number, since it is smaller than the sum of its proper divisors (195104814927648).

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

112130223110112 is a wasteful number, since it uses less digits than its factorization.

112130223110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828616 (or 15828608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 112130223110112 its reverse (211011322031211), we get a palindrome (323141545141323).

The spelling of 112130223110112 in words is "one hundred twelve trillion, one hundred thirty billion, two hundred twenty-three million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 3209 6418 9627 12836 19254 25672 38508 51344 73807 77016 102688 147614 154032 221421 295228 308064 442842 590456 885684 1180912 1771368 2361824 3542736 7085472 15825371 31650742 47476113 63301484 94952226 126602968 189904452 253205936 363983533 379808904 506411872 727967066 759617808 1091950599 1455934132 1519235616 2183901198 2911868264 4367802396 5823736528 8735604792 11647473056 17471209584 34942419168 50783615539 101567231078 152350846617 203134462156 304701693234 406268924312 609403386468 812537848624 1168023157397 1218806772936 1625075697248 2336046314794 2437613545872 3504069472191 4672092629588 4875227091744 7008138944382 9344185259176 14016277888764 18688370518352 28032555777528 37376741036704 56065111555056 112130223110112