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1020201121220 = 225173000591533
BaseRepresentation
bin11101101100010001011…
…10011011010111000100
310121112022120101201011212
432312020232123113010
5113203332441334340
62100401322350552
7133464351310121
oct16661056332704
93545276351155
101020201121220
11363734a332a6
1214587b35b458
1375287530bc8
1437541323748
151b80eeada65
hexed88b9b5c4

1020201121220 has 24 divisors (see below), whose sum is σ = 2268447199704. Its totient is φ = 384075716096.

The previous prime is 1020201121217. The next prime is 1020201121231. The reversal of 1020201121220 is 221211020201.

It can be written as a sum of positive squares in 4 ways, for example, as 279358759936 + 740842361284 = 528544^2 + 860722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020201121195 and 1020201121204.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1500295427 + ... + 1500296106.

It is an arithmetic number, because the mean of its divisors is an integer number (94518633321).

Almost surely, 21020201121220 is an apocalyptic number.

1020201121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020201121220 is an abundant number, since it is smaller than the sum of its proper divisors (1248246078484).

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

1020201121220 is a wasteful number, since it uses less digits than its factorization.

1020201121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000591559 (or 3000591557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020201121220 its reverse (221211020201), we get a palindrome (1241412141421).

The spelling of 1020201121220 in words is "one trillion, twenty billion, two hundred one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3000591533 6001183066 12002366132 15002957665 30005915330 51010056061 60011830660 102020112122 204040224244 255050280305 510100560610 1020201121220