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212321213001 = 322322933713291
BaseRepresentation
bin1100010110111101010…
…1001001101001001001
3202022001000211011020200
43011233111021221021
511434313212304001
6241312232242413
721224342350542
oct3055725115111
9668030734220
10212321213001
1182054875967
1235195b40409
1317038b9b061
14a3c26354c9
1557c9ee4086
hex316f549a49

212321213001 has 48 divisors (see below), whose sum is σ = 322395864960. Its totient is φ = 134391882240.

The previous prime is 212321212981. The next prime is 212321213101. The reversal of 212321213001 is 100312123212.

212321213001 is a `hidden beast` number, since 21 + 2 + 321 + 21 + 300 + 1 = 666.

212321213001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212321213001 - 26 = 212321212937 is a prime.

It is a super-2 number, since 2×2123212130012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212321213101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15968166 + ... + 15981456.

It is an arithmetic number, because the mean of its divisors is an integer number (6716580520).

Almost surely, 2212321213001 is an apocalyptic number.

It is an amenable number.

212321213001 is a deficient number, since it is larger than the sum of its proper divisors (110074651959).

212321213001 is a wasteful number, since it uses less digits than its factorization.

212321213001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13886 (or 13883 counting only the distinct ones).

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

Adding to 212321213001 its reverse (100312123212), we get a palindrome (312633336213).

The spelling of 212321213001 in words is "two hundred twelve billion, three hundred twenty-one million, two hundred thirteen thousand, one".

Divisors: 1 3 9 23 69 207 229 337 687 1011 2061 3033 5267 7751 13291 15801 23253 39873 47403 69759 77173 119619 231519 305693 694557 917079 1774979 2751237 3043639 4479067 5324937 9130917 13437201 15974811 27392751 40311603 70003697 103018541 210011091 309055623 630033273 927166869 1025706343 3077119029 9231357087 23591245889 70773737667 212321213001