Search a number
-
+
221201200210212 = 223210956371355813
BaseRepresentation
bin110010010010111001101010…
…111101100110000100100100
31002000012121221222012200002200
4302102321222331212010210
5212443130024223211322
62102242232320534500
764410154643554545
oct6222715275460444
91060177858180080
10221201200210212
11645329a18a7142
1220986336481430
1396572506c6671
143c8a2a39524cc
151a88e3e18d8ac
hexc92e6af66124

221201200210212 has 36 divisors (see below), whose sum is σ = 564277271698140. Its totient is φ = 73057277132352.

The previous prime is 221201200210163. The next prime is 221201200210219. The reversal of 221201200210212 is 212012002102122.

It is a happy number.

221201200210212 is a `hidden beast` number, since 2 + 2 + 120 + 120 + 0 + 210 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74887839058176 + 146313361152036 = 8653776^2 + 12096006^2 .

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 (221201200210219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28185673983 + ... + 28185681830.

Almost surely, 2221201200210212 is an apocalyptic number.

It is an amenable number.

221201200210212 is an abundant number, since it is smaller than the sum of its proper divisors (343076071487928).

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

221201200210212 is a wasteful number, since it uses less digits than its factorization.

221201200210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56371355932 (or 56371355927 counting only the distinct ones).

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

Adding to 221201200210212 its reverse (212012002102122), we get a palindrome (433213202312334).

It can be divided in two parts, 2 and 21201200210212, that multiplied together give a palindrome (42402400420424).

The spelling of 221201200210212 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred million, two hundred ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 56371355813 112742711626 169114067439 225485423252 338228134878 507342202317 676456269756 1014684404634 2029368809268 6144477783617 12288955567234 18433433350851 24577911134468 36866866701702 55300300052553 73733733403404 110600600105106 221201200210212