Search a number
-
+
200210200222122 = 23211122788901229
BaseRepresentation
bin101101100001011100010001…
…110111010101100110101010
3222020212220112002102201022100
4231201130101313111212222
5202220220442224101442
61545451143553434230
760112465254604446
oct5541342167254652
9866786462381270
10200210200222122
115887a73a613392
121a5560b2b6b976
1387939828cc93c
1437623226a7826
151822dd7c7184c
hexb61711dd59aa

200210200222122 has 12 divisors (see below), whose sum is σ = 433788767147970. Its totient is φ = 66736733407368.

The previous prime is 200210200222099. The next prime is 200210200222127. The reversal of 200210200222122 is 221222002012002.

200210200222122 is a `hidden beast` number, since 20 + 0 + 210 + 200 + 22 + 212 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121547119075281 + 78663081146841 = 11024841^2 + 8869221^2 .

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: 11122788901229 = 200210200222122 / (2 + 0 + 0 + 2 + 1 + 0 + 2 + 0 + 0 + 2 + 2 + 2 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 200210200222095 and 200210200222104.

It is not an unprimeable number, because it can be changed into a prime (200210200222127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561394450597 + ... + 5561394450632.

Almost surely, 2200210200222122 is an apocalyptic number.

200210200222122 is an abundant number, since it is smaller than the sum of its proper divisors (233578566925848).

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

200210200222122 is a wasteful number, since it uses less digits than its factorization.

200210200222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122788901237 (or 11122788901234 counting only the distinct ones).

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

Adding to 200210200222122 its reverse (221222002012002), we get a palindrome (421432202234124).

The spelling of 200210200222122 in words is "two hundred trillion, two hundred ten billion, two hundred million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 11122788901229 22245577802458 33368366703687 66736733407374 100105100111061 200210200222122