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20212144040041 = 1971108891375981
BaseRepresentation
bin1001001100010000000011…
…01010100110100001101001
32122120021002001220100021221
410212020001222212201221
510122123432333240131
6110553155241102041
74154164525430302
oct446100152464151
978507061810257
1020212144040041
116492a16421268
1223252ba187921
13b37cc655a905
144dc3b71337a9
15250b6e52e411
hex126201aa6869

20212144040041 has 16 divisors (see below), whose sum is σ = 21577599331200. Its totient is φ = 18876904502400.

The previous prime is 20212144039961. The next prime is 20212144040083. The reversal of 20212144040041 is 14004044121202.

It is a happy number.

It is not a de Polignac number, because 20212144040041 - 235 = 20177784301673 is a prime.

It is a super-2 number, since 2×202121440400412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20212144039988 and 20212144040015.

It is not an unprimeable number, because it can be changed into a prime (20212144040141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14001271 + ... + 15377251.

It is an arithmetic number, because the mean of its divisors is an integer number (1348599958200).

Almost surely, 220212144040041 is an apocalyptic number.

It is an amenable number.

20212144040041 is a deficient number, since it is larger than the sum of its proper divisors (1365455291159).

20212144040041 is a wasteful number, since it uses less digits than its factorization.

20212144040041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386960.

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 20212144040041 its reverse (14004044121202), we get a palindrome (34216188161243).

The spelling of 20212144040041 in words is "twenty trillion, two hundred twelve billion, one hundred forty-four million, forty thousand, forty-one".

Divisors: 1 19 71 1349 10889 206891 773119 1375981 14689261 26143639 97694651 1856198369 14983057109 284678085071 1063797054739 20212144040041