Search a number
-
+
212210021001 = 31137251692431
BaseRepresentation
bin1100010110100010110…
…0111111001010001001
3202021202021121000111110
43011220230333022021
511434101231133001
6241253221120533
721221522262606
oct3055054771211
9667667530443
10212210021001
1181aa802a750
1235164859149
131701bb39284
14a3b196d6ad
1557c037d3d6
hex3168b3f289

212210021001 has 32 divisors (see below), whose sum is σ = 318274983936. Its totient is φ = 124637400000.

The previous prime is 212210020991. The next prime is 212210021029. The reversal of 212210021001 is 100120012212.

212210021001 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 212210021001 - 26 = 212210020937 is a prime.

It is a super-2 number, since 2×2122100210012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212210021071) 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 31 ways as a sum of consecutive naturals, for example, 39745 + ... + 652686.

It is an arithmetic number, because the mean of its divisors is an integer number (9946093248).

Almost surely, 2212210021001 is an apocalyptic number.

It is an amenable number.

212210021001 is a deficient number, since it is larger than the sum of its proper divisors (106064962935).

212210021001 is a wasteful number, since it uses less digits than its factorization.

212210021001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692733.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212210021001 its reverse (100120012212), we get a palindrome (312330033213).

The spelling of 212210021001 in words is "two hundred twelve billion, two hundred ten million, twenty-one thousand, one".

Divisors: 1 3 11 33 37 111 251 407 753 1221 2761 8283 9287 27861 102157 306471 692431 2077293 7616741 22850223 25619947 76859841 173800181 281819417 521400543 845458251 1911801991 5735405973 6430606697 19291820091 70736673667 212210021001