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112220102000 = 24531071314003
BaseRepresentation
bin110100010000011010…
…1101101110101110000
3101201122210220211210002
41220200311231311300
53314311321231000
6123315254125132
711051630062016
oct1504065556560
9351583824702
10112220102000
114365735a656
12198ba3507a8
13a775449226
145607db48b6
152dbbe858d5
hex1a20d6dd70

112220102000 has 160 divisors (see below), whose sum is σ = 276043832064. Its totient is φ = 44118048000.

The previous prime is 112220101999. The next prime is 112220102009. The reversal of 112220102000 is 201022211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112220102009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28031999 + ... + 28036001.

Almost surely, 2112220102000 is an apocalyptic number.

112220102000 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 112220102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138021916032).

112220102000 is an abundant number, since it is smaller than the sum of its proper divisors (163823730064).

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

112220102000 is a wasteful number, since it uses less digits than its factorization.

112220102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4248 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 112220102000 its reverse (201022211), we get a palindrome (112421124211).

The spelling of 112220102000 in words is "one hundred twelve billion, two hundred twenty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 131 200 214 250 262 400 428 500 524 535 655 856 1000 1048 1070 1310 1712 2000 2096 2140 2620 2675 3275 4003 4280 5240 5350 6550 8006 8560 10480 10700 13100 13375 14017 16012 16375 20015 21400 26200 26750 28034 32024 32750 40030 42800 52400 53500 56068 64048 65500 70085 80060 100075 107000 112136 131000 140170 160120 200150 214000 224272 262000 280340 320240 350425 400300 428321 500375 524393 560680 700850 800600 856642 1000750 1048786 1121360 1401700 1601200 1713284 1752125 2001500 2097572 2141605 2621965 2803400 3426568 3504250 4003000 4195144 4283210 5243930 5606800 6853136 7008500 8006000 8390288 8566420 10487860 10708025 13109825 14017000 17132840 20975720 21416050 26219650 28034000 34265680 41951440 42832100 52439300 53540125 56110051 65549125 85664200 104878600 107080250 112220102 131098250 171328400 209757200 214160500 224440204 262196500 280550255 428321000 448880408 524393000 561100510 856642000 897760816 1048786000 1122201020 1402751275 2244402040 2805502550 4488804080 5611005100 7013756375 11222010200 14027512750 22444020400 28055025500 56110051000 112220102000