Search a number
-
+
221002101212202 = 23212277894511789
BaseRepresentation
bin110010010000000000001111…
…101111001100010000101010
31001222111121001102022121222100
4302100000033233030100222
5212431344300402242302
62102010544054234230
764356606043161522
oct6220001757142052
91058447042277870
10221002101212202
1164466512692092
1220953830655976
139641540c61c7b
143c807b73ac682
151a83b89d92d1c
hexc9000fbcc42a

221002101212202 has 12 divisors (see below), whose sum is σ = 478837885959810. Its totient is φ = 73667367070728.

The previous prime is 221002101212171. The next prime is 221002101212227. The reversal of 221002101212202 is 202212101200122.

It is a happy number.

221002101212202 is a `hidden beast` number, since 2 + 210 + 0 + 210 + 1 + 21 + 220 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 185789139941601 + 35212961270601 = 13630449^2 + 5934051^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12277894511789 = 221002101212202 / (2 + 2 + 1 + 0 + 0 + 2 + 1 + 0 + 1 + 2 + 1 + 2 + 2 + 0 + 2).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6138947255877 + ... + 6138947255912.

Almost surely, 2221002101212202 is an apocalyptic number.

221002101212202 is an abundant number, since it is smaller than the sum of its proper divisors (257835784747608).

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

221002101212202 is a wasteful number, since it uses less digits than its factorization.

221002101212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277894511797 (or 12277894511794 counting only the distinct ones).

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

Adding to 221002101212202 its reverse (202212101200122), we get a palindrome (423214202412324).

The spelling of 221002101212202 in words is "two hundred twenty-one trillion, two billion, one hundred one million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 18 12277894511789 24555789023578 36833683535367 73667367070734 110501050606101 221002101212202