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2001212220020 = 2251351971481041
BaseRepresentation
bin11101000111110001100…
…010110010001001110100
321002022110220212000012212
4131013301202302021310
5230241440312020040
64131202203032552
7264403622130146
oct35076142621164
97068426760185
102001212220020
11701789143712
12283a21b0b758
13116937746a20
146cc05880c96
15370c962dd65
hex1d1f18b2274

2001212220020 has 48 divisors (see below), whose sum is σ = 4526692313808. Its totient is φ = 738766448640.

The previous prime is 2001212220013. The next prime is 2001212220061. The reversal of 2001212220020 is 200222121002.

It can be written as a sum of positive squares in 8 ways, for example, as 13038899344 + 1988173320676 = 114188^2 + 1410026^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2001212219977 and 2001212220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 610700 + ... + 2091740.

It is an arithmetic number, because the mean of its divisors is an integer number (94306089871).

Almost surely, 22001212220020 is an apocalyptic number.

2001212220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001212220020 is an abundant number, since it is smaller than the sum of its proper divisors (2525480093788).

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

2001212220020 is a wasteful number, since it uses less digits than its factorization.

2001212220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486260 (or 1486258 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2001212220020 its reverse (200222121002), we get a palindrome (2201434341022).

The spelling of 2001212220020 in words is "two trillion, one billion, two hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5197 10394 20788 25985 51970 67561 103940 135122 270244 337805 675610 1351220 1481041 2962082 5924164 7405205 14810410 19253533 29620820 38507066 77014132 96267665 192535330 385070660 7696970077 15393940154 30787880308 38484850385 76969700770 100060611001 153939401540 200121222002 400242444004 500303055005 1000606110010 2001212220020