Search a number
-
+
200222121112020 = 223857231139809
BaseRepresentation
bin101101100001100111011000…
…011001111011000111010100
3222020221001021212200200000000
4231201213120121323013110
5202220414401001041040
61545500434515451300
760113366545522500
oct5541473031730724
9866831255620000
10200222121112020
11588847a7651407
121a55847b2b6b30
138794b32556147
143762b339b1300
1518233845b7130
hexb619d867b1d4

200222121112020 has 324 divisors, whose sum is σ = 733633807282740. Its totient is φ = 45765054784512.

The previous prime is 200222121112009. The next prime is 200222121112031. The reversal of 200222121112020 is 20211121222002.

It is a happy number.

200222121112020 is a `hidden beast` number, since 200 + 2 + 221 + 211 + 12 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (200222121112009) and next prime (200222121112031).

It can be written as a sum of positive squares in 2 ways, for example, as 129058960809744 + 71163160302276 = 11360412^2 + 8435826^2 .

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200222121111984 and 200222121112002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9140125 + ... + 21999684.

Almost surely, 2200222121112020 is an apocalyptic number.

200222121112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200222121112020 is an abundant number, since it is smaller than the sum of its proper divisors (533411686170720).

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

200222121112020 is an equidigital number, since it uses as much as digits as its factorization.

200222121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31139856 (or 31139826 counting only the distinct ones).

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

Adding to 200222121112020 its reverse (20211121222002), we get a palindrome (220433242334022).

The spelling of 200222121112020 in words is "two hundred trillion, two hundred twenty-two billion, one hundred twenty-one million, one hundred twelve thousand, twenty".