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20010020001220 = 2251000501000061
BaseRepresentation
bin1001000110010111100100…
…01000100101010111000100
32121211221100200212022022001
410203023302020211113010
510110321010110014340
6110320250513315044
74133450643436264
oct443136210452704
977757320768261
1020010020001220
1164152246a3287
1222b20ab265a84
13b21c24185042
144d26c0d097a4
1524a78e89529a
hex1232f22255c4

20010020001220 has 12 divisors (see below), whose sum is σ = 42021042002604. Its totient is φ = 8004008000480.

The previous prime is 20010020001149. The next prime is 20010020001221. The reversal of 20010020001220 is 2210002001002.

It can be written as a sum of positive squares in 2 ways, for example, as 10621446011136 + 9388573990084 = 3259056^2 + 3064078^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20010020001197 and 20010020001206.

It is not an unprimeable number, because it can be changed into a prime (20010020001221) 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 3 ways as a sum of consecutive naturals, for example, 500250500011 + ... + 500250500050.

It is an arithmetic number, because the mean of its divisors is an integer number (3501753500217).

Almost surely, 220010020001220 is an apocalyptic number.

20010020001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010020001220 is an abundant number, since it is smaller than the sum of its proper divisors (22011022001384).

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

20010020001220 is a wasteful number, since it uses less digits than its factorization.

20010020001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000501000070 (or 1000501000068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20010020001220 its reverse (2210002001002), we get a palindrome (22220022002222).

The spelling of 20010020001220 in words is "twenty trillion, ten billion, twenty million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 1000501000061 2001002000122 4002004000244 5002505000305 10005010000610 20010020001220