Search a number
-
+
212020012221201 = 32376615851164627
BaseRepresentation
bin110000001101010011000001…
…100000111000001100010001
31000210200220201012020022221200
4300031103001200320030101
5210242213441112034301
62030532352102541413
762441640360364332
oct6015230140701421
91023626635208850
10212020012221201
1161613200604138
121b942a95137869
13913c52aa44c72
143a4db7538a289
15197a1d8d41c86
hexc0d4c1838311

212020012221201 has 48 divisors (see below), whose sum is σ = 315059774597568. Its totient is φ = 137294132976000.

The previous prime is 212020012221167. The next prime is 212020012221203. The reversal of 212020012221201 is 102122210020212.

It is a happy number.

212020012221201 is a `hidden beast` number, since 2 + 120 + 200 + 1 + 222 + 120 + 1 = 666.

It is not a de Polignac number, because 212020012221201 - 211 = 212020012219153 is a prime.

It is a super-3 number, since 3×2120200122212013 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212020012221203) 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 47 ways as a sum of consecutive naturals, for example, 1287798850 + ... + 1287963476.

It is an arithmetic number, because the mean of its divisors is an integer number (6563745304116).

Almost surely, 2212020012221201 is an apocalyptic number.

It is an amenable number.

212020012221201 is a deficient number, since it is larger than the sum of its proper divisors (103039762376367).

212020012221201 is a wasteful number, since it uses less digits than its factorization.

212020012221201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171182 (or 171179 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212020012221201 its reverse (102122210020212), we get a palindrome (314142222241413).

The spelling of 212020012221201 in words is "two hundred twelve trillion, twenty billion, twelve million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 3 9 37 111 333 661 1983 5851 5949 17553 24457 52659 73371 164627 216487 220113 493881 649461 1481643 1948383 3867511 6091199 11602533 18273597 34807599 54820791 108818447 143097907 326455341 429293721 963232577 979366023 1287881163 2889697731 4026282539 8669093193 12078847617 35639605349 36236542851 106918816047 320756448141 636696733397 1910090200191 5730270600573 23557779135689 70673337407067 212020012221201