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220001300000 = 25552200013
BaseRepresentation
bin1100110011100100011…
…0010110111000100000
3210000212021021000000022
43030321012112320200
512101030313100000
6245022303213012
721615560123666
oct3147106267040
9700767230008
10220001300000
1185335aa89a9
1236779ba7168
1317991060731
14a910624c36
155ac939a585
hex3339196e20

220001300000 has 72 divisors (see below), whose sum is σ = 541375045092. Its totient is φ = 88000480000.

The previous prime is 220001299979. The next prime is 220001300021. The reversal of 220001300000 is 3100022.

It is an interprime number because it is at equal distance from previous prime (220001299979) and next prime (220001300021).

It can be written as a sum of positive squares in 6 ways, for example, as 5887799824 + 214113500176 = 76732^2 + 462724^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000007 + ... + 1200006.

Almost surely, 2220001300000 is an apocalyptic number.

220001300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220001300000 is an abundant number, since it is smaller than the sum of its proper divisors (321373745092).

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

220001300000 is an frugal number, since it uses more digits than its factorization.

220001300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200048 (or 2200020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 220001300000 its reverse (3100022), we get a palindrome (220004400022).

The spelling of 220001300000 in words is "two hundred twenty billion, one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 2200013 4400026 8800052 11000065 17600104 22000130 35200208 44000260 55000325 70400416 88000520 110000650 176001040 220001300 275001625 352002080 440002600 550003250 880005200 1100006500 1375008125 1760010400 2200013000 2750016250 4400026000 5500032500 6875040625 8800052000 11000065000 13750081250 22000130000 27500162500 44000260000 55000325000 110000650000 220001300000