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212442331041 = 3337332107751
BaseRepresentation
bin1100010111011010001…
…1001011011110100001
3202022100110201120222000
43011312203023132201
511440040214043131
6241332240234213
721230343006423
oct3056643133641
9668313646860
10212442331041
1182107180716
123520a60b969
1317057cc6b35
14a3d4762813
1557d596ace6
hex31768cb7a1

212442331041 has 16 divisors (see below), whose sum is σ = 314813838720. Its totient is φ = 141590214000.

The previous prime is 212442331021. The next prime is 212442331097. The reversal of 212442331041 is 140133244212.

212442331041 is a `hidden beast` number, since 212 + 442 + 3 + 3 + 1 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 212442331041 - 218 = 212442068897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212442330996 and 212442331014.

It is not an unprimeable number, because it can be changed into a prime (212442331021) 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, 953085 + ... + 1154666.

It is an arithmetic number, because the mean of its divisors is an integer number (19675864920).

Almost surely, 2212442331041 is an apocalyptic number.

It is an amenable number.

212442331041 is a deficient number, since it is larger than the sum of its proper divisors (102371507679).

212442331041 is a wasteful number, since it uses less digits than its factorization.

212442331041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111493 (or 2111487 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 212442331041 its reverse (140133244212), we get a palindrome (352575575253).

The spelling of 212442331041 in words is "two hundred twelve billion, four hundred forty-two million, three hundred thirty-one thousand, forty-one".

Divisors: 1 3 9 27 3733 11199 33597 100791 2107751 6323253 18969759 56909277 7868234483 23604703449 70814110347 212442331041