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212440342401 = 32731108776417
BaseRepresentation
bin1100010111011001101…
…1100101111110000001
3202022100022222120001200
43011312123211332001
511440034211424101
6241332125451413
721230320054560
oct3056633457601
9668308876050
10212440342401
1182106042611
1235209a10b69
131705777b921
14a3d43a5bd7
1557d56c6986
hex31766e5f81

212440342401 has 24 divisors (see below), whose sum is σ = 362007919104. Its totient is φ = 117478529280.

The previous prime is 212440342399. The next prime is 212440342417. The reversal of 212440342401 is 104243044212.

212440342401 is a `hidden beast` number, since 2 + 12 + 4 + 403 + 4 + 240 + 1 = 666.

It is not a de Polignac number, because 212440342401 - 21 = 212440342399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212440342451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54386256 + ... + 54390161.

It is an arithmetic number, because the mean of its divisors is an integer number (15083663296).

Almost surely, 2212440342401 is an apocalyptic number.

212440342401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212440342401 is a deficient number, since it is larger than the sum of its proper divisors (149567576703).

212440342401 is a wasteful number, since it uses less digits than its factorization.

212440342401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108776461 (or 108776458 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 212440342401 its reverse (104243044212), we get a palindrome (316683386613).

The spelling of 212440342401 in words is "two hundred twelve billion, four hundred forty million, three hundred forty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 1953 108776417 326329251 761434919 978987753 2284304757 3372068927 6852914271 10116206781 23604482489 30348620343 70813447467 212440342401