Search a number
-
+
112220110221000 = 23353231626378409
BaseRepresentation
bin11001100001000001000111…
…110011100110111011001000
3112201100010201102121101121120
4121201001013303212323020
5104202103241204033000
61034401112410435240
732431430642160555
oct3141010763467310
9481303642541546
10112220110221000
1132836310713931
1210705013a32b20
134a80407311442
141d9d6a7689a2c
15ce91814036a0
hex661047ce6ec8

112220110221000 has 128 divisors (see below), whose sum is σ = 365349646022400. Its totient is φ = 28624259980800.

The previous prime is 112220110220993. The next prime is 112220110221007. The reversal of 112220110221000 is 122011022211.

It is an interprime number because it is at equal distance from previous prime (112220110220993) and next prime (112220110221007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (112220110221007) 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, 813120205 + ... + 813258204.

It is an arithmetic number, because the mean of its divisors is an integer number (2854294109550).

Almost surely, 2112220110221000 is an apocalyptic number.

112220110221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112220110221000 is an abundant number, since it is smaller than the sum of its proper divisors (253129535801400).

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

112220110221000 is a wasteful number, since it uses less digits than its factorization.

112220110221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626378456 (or 1626378442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112220110221000 its reverse (122011022211), we get a palindrome (112342121243211).

The spelling of 112220110221000 in words is "one hundred twelve trillion, two hundred twenty billion, one hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 184 200 230 250 276 300 345 375 460 500 552 575 600 690 750 920 1000 1150 1380 1500 1725 2300 2760 2875 3000 3450 4600 5750 6900 8625 11500 13800 17250 23000 34500 69000 1626378409 3252756818 4879135227 6505513636 8131892045 9758270454 13011027272 16263784090 19516540908 24395676135 32527568180 37406703407 39033081816 40659460225 48791352270 65055136360 74813406814 81318920450 97582704540 112220110221 121978380675 149626813628 162637840900 187033517035 195165409080 203297301125 224440220442 243956761350 299253627256 325275681800 374067034070 406594602250 448880440884 487913522700 561100551105 609891903375 748134068140 813189204500 897760881768 935167585175 975827045400 1122201102210 1219783806750 1496268136280 1626378409000 1870335170350 2244402204420 2439567613500 2805502755525 3740670340700 4488804408840 4675837925875 4879135227000 5611005511050 7481340681400 9351675851750 11222011022100 14027513777625 18703351703500 22444022044200 28055027555250 37406703407000 56110055110500 112220110221000