Search a number
-
+
112120000000 = 29572803
BaseRepresentation
bin110100001101011011…
…1110110111000000000
3101201101211120010122121
41220122313312320000
53314110210000000
6123301320414024
711046303163321
oct1503267667000
9351354503577
10112120000000
11436058a9528
1219890917314
13a75a79b188
1455d8998448
152db32b0b1a
hex1a1adf6e00

112120000000 has 160 divisors (see below), whose sum is σ = 280125454752. Its totient is φ = 44832000000.

The previous prime is 112119999973. The next prime is 112120000019. The reversal of 112120000000 is 21211.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39998599 + ... + 40001401.

Almost surely, 2112120000000 is an apocalyptic number.

112120000000 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 112120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140062727376).

112120000000 is an abundant number, since it is smaller than the sum of its proper divisors (168005454752).

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

112120000000 is an frugal number, since it uses more digits than its factorization.

112120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 112120000000 its reverse (21211), we get a palindrome (112120021211).

The spelling of 112120000000 in words is "one hundred twelve billion, one hundred twenty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 2803 3125 3200 4000 5000 5606 6250 6400 8000 10000 11212 12500 12800 14015 15625 16000 20000 22424 25000 28030 31250 32000 40000 44848 50000 56060 62500 64000 70075 78125 80000 89696 100000 112120 125000 140150 156250 160000 179392 200000 224240 250000 280300 312500 320000 350375 358784 400000 448480 500000 560600 625000 700750 717568 800000 896960 1000000 1121200 1250000 1401500 1435136 1600000 1751875 1793920 2000000 2242400 2500000 2803000 3503750 3587840 4000000 4484800 5000000 5606000 7007500 7175680 8000000 8759375 8969600 10000000 11212000 14015000 17518750 17939200 20000000 22424000 28030000 35037500 35878400 40000000 43796875 44848000 56060000 70075000 87593750 89696000 112120000 140150000 175187500 179392000 218984375 224240000 280300000 350375000 437968750 448480000 560600000 700750000 875937500 896960000 1121200000 1401500000 1751875000 2242400000 2803000000 3503750000 4484800000 5606000000 7007500000 11212000000 14015000000 22424000000 28030000000 56060000000 112120000000