Search a number
-
+
211122100220202 = 23211729005567789
BaseRepresentation
bin110000000000001110110001…
…110010011011000100101010
31000200112002001011101120212200
4300000032301302123010222
5210133011030124021302
62025004053124321030
762320032312325413
oct6000166162330452
91020462034346780
10211122100220202
11612a741a6a5956
121b818a64243176
1390a5961a34432
143a1c51540880a
151961b84cab81c
hexc003b1c9b12a

211122100220202 has 12 divisors (see below), whose sum is σ = 457431217143810. Its totient is φ = 70374033406728.

The previous prime is 211122100220189. The next prime is 211122100220231. The reversal of 211122100220202 is 202022001221112.

It is a happy number.

211122100220202 is a `hidden beast` number, since 21 + 1 + 1 + 221 + 0 + 0 + 220 + 202 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179401673716281 + 31720426503921 = 13394091^2 + 5632089^2 .

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: 11729005567789 = 211122100220202 / (2 + 1 + 1 + 1 + 2 + 2 + 1 + 0 + 0 + 2 + 2 + 0 + 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, 5864502783877 + ... + 5864502783912.

Almost surely, 2211122100220202 is an apocalyptic number.

211122100220202 is an abundant number, since it is smaller than the sum of its proper divisors (246309116923608).

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

211122100220202 is a wasteful number, since it uses less digits than its factorization.

211122100220202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11729005567797 (or 11729005567794 counting only the distinct ones).

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

Adding to 211122100220202 its reverse (202022001221112), we get a palindrome (413144101441314).

The spelling of 211122100220202 in words is "two hundred eleven trillion, one hundred twenty-two billion, one hundred million, two hundred twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 11729005567789 23458011135578 35187016703367 70374033406734 105561050110101 211122100220202