Search a number
-
+
112010022112100 = 225278315187126943
BaseRepresentation
bin11001011101111101011101…
…100101000100101101100100
3112200121001110000202200022012
4121131331131211010231210
5104140133011130041400
61034120405505253352
732410312523543420
oct3135753545045544
9480531400680265
10112010022112100
1132765202429152
1210690361934258
134a66665c95878
141d9345786bb80
15ce39874b9d35
hex65df5d944b64

112010022112100 has 144 divisors (see below), whose sum is σ = 281152386428928. Its totient is φ = 37937947052160.

The previous prime is 112010022112099. The next prime is 112010022112133. The reversal of 112010022112100 is 1211220010211.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 882301229 + ... + 882428171.

Almost surely, 2112010022112100 is an apocalyptic number.

112010022112100 is a gapful number since it is divisible by the number (10) 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 112010022112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140576193214464).

112010022112100 is an abundant number, since it is smaller than the sum of its proper divisors (169142364316828).

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

112010022112100 is a wasteful number, since it uses less digits than its factorization.

112010022112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142234 (or 142227 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112010022112100 its reverse (1211220010211), we get a palindrome (113221242122311).

The spelling of 112010022112100 in words is "one hundred twelve trillion, ten billion, twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 100 140 166 175 332 350 415 581 700 830 1162 1660 2075 2324 2905 4150 5810 8300 11620 14525 15187 29050 30374 58100 60748 75935 106309 126943 151870 212618 253886 303740 379675 425236 507772 531545 634715 759350 888601 1063090 1260521 1269430 1518700 1777202 2126180 2521042 2538860 2657725 3173575 3554404 4443005 5042084 5315450 6302605 6347150 8823647 8886010 10536269 10630900 12605210 12694300 17647294 17772020 21072538 22215025 25210420 31513025 35294588 42145076 44118235 44430050 52681345 63026050 73753883 88236470 88860100 105362690 126052100 147507766 176472940 210725380 220591175 263406725 295015532 368769415 441182350 526813450 737538830 882364700 1053626900 1475077660 1843847075 1927883341 3687694150 3855766682 7375388300 7711533364 9639416705 13495183387 19278833410 26990366774 38557666820 48197083525 53980733548 67475916935 96394167050 134951833870 160014317303 192788334100 269903667740 320028634606 337379584675 640057269212 674759169350 800071586515 1120100221121 1349518338700 1600143173030 2240200442242 3200286346060 4000357932575 4480400884484 5600501105605 8000715865150 11201002211210 16001431730300 22402004422420 28002505528025 56005011056050 112010022112100