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212131131112001 = 29269920749130619
BaseRepresentation
bin110000001110111010100000…
…101101110011101001000001
31000211002112112021000211221202
4300032322200231303221001
5210301024024031041001
62031055410222230545
762452653116360153
oct6016724055635101
91024075467024852
10212131131112001
11616563422a1492
121b960526725455
139149b58ca811a
143a552b6dc8ad3
15197d03e2a296b
hexc0eea0b73a41

212131131112001 has 16 divisors (see below), whose sum is σ = 219539565000000. Its totient is φ = 204728943671616.

The previous prime is 212131131111997. The next prime is 212131131112037. The reversal of 212131131112001 is 100211131131212.

It is a cyclic number.

It is not a de Polignac number, because 212131131112001 - 22 = 212131131111997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212131131118001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1623979670 + ... + 1624110288.

It is an arithmetic number, because the mean of its divisors is an integer number (13721222812500).

Almost surely, 2212131131112001 is an apocalyptic number.

It is an amenable number.

212131131112001 is a deficient number, since it is larger than the sum of its proper divisors (7408433887999).

212131131112001 is a wasteful number, since it uses less digits than its factorization.

212131131112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154096.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 212131131112001 its reverse (100211131131212), we get a palindrome (312342262243213).

The spelling of 212131131112001 in words is "two hundred twelve trillion, one hundred thirty-one billion, one hundred thirty-one million, one hundred twelve thousand, one".

Divisors: 1 29 2699 20749 78271 130619 601721 3787951 56001551 352540681 1624044979 2710213631 10223679749 78596195299 7314866590069 212131131112001