Search a number
-
+
110001102000 = 2435319195987
BaseRepresentation
bin110011001110010010…
…0111001110010110000
3101111221011110222000220
41212130210321302300
53300240240231000
6122311145213040
710642633640166
oct1463444716260
9344834428026
10110001102000
1142718833059
121939b191180
13a4b07c468a
1454773cd236
152cdc2641a0
hex199c939cb0

110001102000 has 160 divisors (see below), whose sum is σ = 356504039424. Its totient is φ = 29179744000.

The previous prime is 110001101999. The next prime is 110001102011. The reversal of 110001102000 is 201100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 110001102000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1098007 + ... + 1193993.

Almost surely, 2110001102000 is an apocalyptic number.

110001102000 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 110001102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178252019712).

110001102000 is an abundant number, since it is smaller than the sum of its proper divisors (246502937424).

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

110001102000 is a wasteful number, since it uses less digits than its factorization.

110001102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96204 (or 96188 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110001102000 its reverse (201100011), we get a palindrome (110202202011).

The spelling of 110001102000 in words is "one hundred ten billion, one million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 191 200 240 250 300 375 382 400 500 573 600 750 764 955 1000 1146 1200 1500 1528 1910 2000 2292 2865 3000 3056 3820 4584 4775 5730 6000 7640 9168 9550 11460 14325 15280 19100 22920 23875 28650 38200 45840 47750 57300 71625 76400 95500 95987 114600 143250 191000 191974 229200 286500 287961 382000 383948 479935 573000 575922 767896 959870 1146000 1151844 1439805 1535792 1919740 2303688 2399675 2879610 3839480 4607376 4799350 5759220 7199025 7678960 9598700 11518440 11998375 14398050 18333517 19197400 23036880 23996750 28796100 35995125 36667034 38394800 47993500 55000551 57592200 71990250 73334068 91667585 95987000 110001102 115184400 143980500 146668136 183335170 191974000 220002204 275002755 287961000 293336272 366670340 440004408 458337925 550005510 575922000 733340680 880008816 916675850 1100011020 1375013775 1466681360 1833351700 2200022040 2291689625 2750027550 3666703400 4400044080 4583379250 5500055100 6875068875 7333406800 9166758500 11000110200 13750137750 18333517000 22000220400 27500275500 36667034000 55000551000 110001102000