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2020112001220 = 225417333747277
BaseRepresentation
bin11101011001011000000…
…011101110100011000100
321011010021002010101000011
4131121120003232203010
5231044142133014340
64144005431000004
7265643154460105
oct35313003564304
97133232111004
102020112001220
117097a7618aa5
12287617509004
1311865a1c5201
146dab99ac3ac
15378339be0ea
hex1d6580ee8c4

2020112001220 has 48 divisors (see below), whose sum is σ = 4405234681008. Its totient is φ = 777537239040.

The previous prime is 2020112001151. The next prime is 2020112001221. The reversal of 2020112001220 is 221002110202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 192294528196 + 1827817473024 = 438514^2 + 1351968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2020112001220.

It is not an unprimeable number, because it can be changed into a prime (2020112001221) 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 15 ways as a sum of consecutive naturals, for example, 16813779 + ... + 16933498.

It is an arithmetic number, because the mean of its divisors is an integer number (91775722521).

Almost surely, 22020112001220 is an apocalyptic number.

2020112001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2020112001220 is an abundant number, since it is smaller than the sum of its proper divisors (2385122679788).

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

2020112001220 is a wasteful number, since it uses less digits than its factorization.

2020112001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33747400 (or 33747398 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2020112001220 its reverse (221002110202), we get a palindrome (2241114111422).

The spelling of 2020112001220 in words is "two trillion, twenty billion, one hundred twelve million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 11972 14965 29930 59860 33747277 67494554 134989108 168736385 337472770 674945540 1383638357 2463551221 2767276714 4927102442 5534553428 6918191785 9854204884 12317756105 13836383570 24635512210 27672767140 49271024420 101005600061 202011200122 404022400244 505028000305 1010056000610 2020112001220