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112221421000 = 23531323337049
BaseRepresentation
bin110100010000011101…
…0101111110111001000
3101201122220101212002221
41220200322233313020
53314312140433000
6123315342303424
711051644224343
oct1504072576710
9351586355087
10112221421000
1143658080637
12198ba887b74
13a7757bb6c0
14560823945a
152dbc14661a
hex1a20eafdc8

112221421000 has 128 divisors (see below), whose sum is σ = 284019372000. Its totient is φ = 41256652800.

The previous prime is 112221420973. The next prime is 112221421007. The reversal of 112221421000 is 124122211.

It can be written as a sum of positive squares in 16 ways, for example, as 53693231524 + 58528189476 = 231718^2 + 241926^2 .

It is not an unprimeable number, because it can be changed into a prime (112221421007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3010476 + ... + 3047524.

Almost surely, 2112221421000 is an apocalyptic number.

112221421000 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 112221421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142009686000).

112221421000 is an abundant number, since it is smaller than the sum of its proper divisors (171797951000).

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

112221421000 is a wasteful number, since it uses less digits than its factorization.

112221421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37316 (or 37302 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 112221421000 its reverse (124122211), we get a palindrome (112345543211).

The spelling of 112221421000 in words is "one hundred twelve billion, two hundred twenty-one million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 233 250 260 325 466 500 520 650 932 1000 1165 1300 1625 1864 2330 2600 3029 3250 4660 5825 6058 6500 9320 11650 12116 13000 15145 23300 24232 29125 30290 37049 46600 58250 60580 74098 75725 116500 121160 148196 151450 185245 233000 296392 302900 370490 378625 481637 605800 740980 757250 926225 963274 1481960 1514500 1852450 1926548 2408185 3029000 3704900 3853096 4631125 4816370 7409800 8632417 9262250 9632740 12040925 17264834 18524500 19265480 24081850 34529668 37049000 43162085 48163700 60204625 69059336 86324170 96327400 112221421 120409250 172648340 215810425 224442842 240818500 345296680 431620850 448885684 481637000 561107105 863241700 897771368 1079052125 1122214210 1726483400 2158104250 2244428420 2805535525 4316208500 4488856840 5611071050 8632417000 11222142100 14027677625 22444284200 28055355250 56110710500 112221421000