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212001213132 = 223217346407211
BaseRepresentation
bin1100010101110001000…
…0011100101011001100
3202021012201200110221200
43011130100130223030
511433134302310012
6241220401425500
721213405402402
oct3053420345314
9667181613850
10212001213132
1181a00181265
123510693b290
1316cb77b9c17
14a391d37472
1557abd843dc
hex315c41cacc

212001213132 has 36 divisors (see below), whose sum is σ = 567415013256. Its totient is φ = 66510184320.

The previous prime is 212001213121. The next prime is 212001213133. The reversal of 212001213132 is 231312100212.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212001213133) 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 11 ways as a sum of consecutive naturals, for example, 173202994 + ... + 173204217.

It is an arithmetic number, because the mean of its divisors is an integer number (15761528146).

Almost surely, 2212001213132 is an apocalyptic number.

It is an amenable number.

212001213132 is an abundant number, since it is smaller than the sum of its proper divisors (355413800124).

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

212001213132 is a wasteful number, since it uses less digits than its factorization.

212001213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346407238 (or 346407233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212001213132 its reverse (231312100212), we get a palindrome (443313313344).

The spelling of 212001213132 in words is "two hundred twelve billion, one million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 346407211 692814422 1039221633 1385628844 2078443266 3117664899 4156886532 5888922587 6235329798 11777845174 12470659596 17666767761 23555690348 35333535522 53000303283 70667071044 106000606566 212001213132