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20212202002120 = 235673093750721
BaseRepresentation
bin1001001100010000001010…
…00111101101011011001000
32122120021020002222010022121
410212020011013231123020
510122124042203031440
6110553205111301024
74154166131206042
oct446100507553310
978507202863277
1020212202002120
116492a46110007
12232531567a774
13b380055730bb
144dc3c0b00a92
15250b7467d34a
hex1262051ed6c8

20212202002120 has 32 divisors (see below), whose sum is σ = 45477582648120. Its totient is φ = 8084858019840.

The previous prime is 20212202002081. The next prime is 20212202002121. The reversal of 20212202002120 is 2120020221202.

It can be written as a sum of positive squares in 4 ways, for example, as 19635054873316 + 577147128804 = 4431146^2 + 759702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20212202002094 and 20212202002103.

It is not an unprimeable number, because it can be changed into a prime (20212202002121) 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 7 ways as a sum of consecutive naturals, for example, 26548360 + ... + 27299080.

Almost surely, 220212202002120 is an apocalyptic number.

20212202002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212202002120 is an abundant number, since it is smaller than the sum of its proper divisors (25265380646000).

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

20212202002120 is a wasteful number, since it uses less digits than its factorization.

20212202002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423825 (or 1423821 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20212202002120 its reverse (2120020221202), we get a palindrome (22332222223322).

The spelling of 20212202002120 in words is "twenty trillion, two hundred twelve billion, two hundred two million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 673093 750721 1346186 1501442 2692372 3002884 3365465 3753605 5384744 6005768 6730930 7507210 13461860 15014420 26923720 30028840 505305050053 1010610100106 2021220200212 2526525250265 4042440400424 5053050500530 10106101001060 20212202002120