Search a number
-
+
202022211020202 = 23211223456167789
BaseRepresentation
bin101101111011110011110110…
…000111111110010110101010
3222111022010122020102122022100
4231323303312013332112222
5202434412442010121302
61553355420021434230
760360423501344526
oct5573636607762652
9874263566378270
10202022211020202
115940915845a381
121a7a931186b976
1388957c72ba551
1437c5cda2a4d86
1518550dbe7ed1c
hexb7bcf61fe5aa

202022211020202 has 12 divisors (see below), whose sum is σ = 437714790543810. Its totient is φ = 67340737006728.

The previous prime is 202022211020171. The next prime is 202022211020269. The reversal of 202022211020202 is 202020112220202.

202022211020202 is a `hidden beast` number, since 20 + 202 + 221 + 1 + 0 + 20 + 202 = 666.

It can be written as a sum of positive squares in only one way, i.e., 161664638697081 + 40357572323121 = 12714741^2 + 6352761^2 .

It is a super-3 number, since 3×2020222110202023 (a number of 44 digits) contains 333 as substring.

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: 11223456167789 = 202022211020202 / (2 + 0 + 2 + 0 + 2 + 2 + 2 + 1 + 1 + 0 + 2 + 0 + 2 + 0 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611728083877 + ... + 5611728083912.

Almost surely, 2202022211020202 is an apocalyptic number.

202022211020202 is an abundant number, since it is smaller than the sum of its proper divisors (235692579523608).

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

202022211020202 is a wasteful number, since it uses less digits than its factorization.

202022211020202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223456167797 (or 11223456167794 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202022211020202 its reverse (202020112220202), we get a palindrome (404042323240404).

The spelling of 202022211020202 in words is "two hundred two trillion, twenty-two billion, two hundred eleven million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 11223456167789 22446912335578 33670368503367 67340737006734 101011105510101 202022211020202