Search a number
-
+
10220202221000 = 2353101101190121
BaseRepresentation
bin1001010010111001001110…
…0001011101110111001000
31100012001010110120002122012
42110232103201131313020
52314421433232033000
633423032430515052
72103246065342642
oct224562341356710
940161113502565
1010220202221000
1132903aa793932
1211908b1065a88
135919b7a06505
142749362d5892
1512acb6c7a735
hex94b9385ddc8

10220202221000 has 64 divisors (see below), whose sum is σ = 24152058318960. Its totient is φ = 4047604800000.

The previous prime is 10220202220979. The next prime is 10220202221027. The reversal of 10220202221000 is 12220202201.

10220202221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2277195685444 + 7943006535556 = 1509038^2 + 2818334^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50494061 + ... + 50696060.

Almost surely, 210220202221000 is an apocalyptic number.

10220202221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220202221000 is an abundant number, since it is smaller than the sum of its proper divisors (13931856097960).

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

10220202221000 is a wasteful number, since it uses less digits than its factorization.

10220202221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101190243 (or 101190229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10220202221000 its reverse (12220202201), we get a palindrome (10232422423201).

The spelling of 10220202221000 in words is "ten trillion, two hundred twenty billion, two hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 101000 101190121 202380242 404760484 505950605 809520968 1011901210 2023802420 2529753025 4047604840 5059506050 10119012100 10220202221 12648765125 20238024200 20440404442 25297530250 40880808884 50595060500 51101011105 81761617768 101190121000 102202022210 204404044420 255505055525 408808088840 511010111050 1022020222100 1277525277625 2044040444200 2555050555250 5110101110500 10220202221000