Search a number
-
+
210122112222020 = 22522189473482609
BaseRepresentation
bin101111110001101011011101…
…110110111100001101000100
31000112222110220021112220210102
4233301223131312330031010
5210020120041212101040
62022520433223143232
762154551551514165
oct5761533566741504
91015873807486712
10210122112222020
1160a51318528119
121b6970a62a4b18
1390325790ab67b
1439c5d7080776c
151945b59616515
hexbf1adddbc344

210122112222020 has 24 divisors (see below), whose sum is σ = 441276322867800. Its totient is φ = 84045056850432.

The previous prime is 210122112222017. The next prime is 210122112222023. The reversal of 210122112222020 is 20222211221012.

It is an interprime number because it is at equal distance from previous prime (210122112222017) and next prime (210122112222023).

It can be written as a sum of positive squares in 4 ways, for example, as 69586161116224 + 140535951105796 = 8341832^2 + 11854786^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 210122112221983 and 210122112222001.

It is not an unprimeable number, because it can be changed into a prime (210122112222023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236297525 + ... + 237185084.

It is an arithmetic number, because the mean of its divisors is an integer number (18386513452825).

Almost surely, 2210122112222020 is an apocalyptic number.

210122112222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210122112222020 is an abundant number, since it is smaller than the sum of its proper divisors (231154210645780).

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

210122112222020 is a wasteful number, since it uses less digits than its factorization.

210122112222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473504807 (or 473504805 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 210122112222020 its reverse (20222211221012), we get a palindrome (230344323443032).

The spelling of 210122112222020 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred twelve million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 22189 44378 88756 110945 221890 443780 473482609 946965218 1893930436 2367413045 4734826090 9469652180 10506105611101 21012211222202 42024422444404 52530528055505 105061056111010 210122112222020