Search a number
-
+
212202011020221 = 32373253195894029
BaseRepresentation
bin110000001111111100100001…
…011111001100101110111101
31000211100022111000002020222200
4300033330201133030232331
5210303204204310121341
62031152131424502113
762461042436554665
oct6017744137145675
91024308430066880
10212202011020221
1161683405142632
121b97220817a939
139153743803011
143a588bc80b1a5
15197ecdbc71db6
hexc0ff217ccbbd

212202011020221 has 24 divisors (see below), whose sum is σ = 314894951768280. Its totient is φ = 137602233876096.

The previous prime is 212202011020193. The next prime is 212202011020231. The reversal of 212202011020221 is 122020110202212.

It is a happy number.

212202011020221 is a `hidden beast` number, since 2 + 1 + 220 + 201 + 1 + 0 + 20 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 163470288802500 + 48731722217721 = 12785550^2 + 6980811^2 .

It is not a de Polignac number, because 212202011020221 - 213 = 212202011012029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212202011020194 and 212202011020203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202011020231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96863766 + ... + 99030263.

It is an arithmetic number, because the mean of its divisors is an integer number (13120622990345).

Almost surely, 2212202011020221 is an apocalyptic number.

It is an amenable number.

212202011020221 is a deficient number, since it is larger than the sum of its proper divisors (102692940748059).

212202011020221 is a wasteful number, since it uses less digits than its factorization.

212202011020221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195897325 (or 195897322 counting only the distinct ones).

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

Adding to 212202011020221 its reverse (122020110202212), we get a palindrome (334222121222433).

It can be divided in two parts, 2 and 12202011020221, that multiplied together give a palindrome (24404022040442).

The spelling of 212202011020221 in words is "two hundred twelve trillion, two hundred two billion, eleven million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 3253 9759 29277 120361 361083 1083249 195894029 587682087 1763046261 7248079073 21744237219 65232711657 637243276337 1911729829011 5735189487033 23578001224469 70734003673407 212202011020221