Search a number
-
+
10022210221000 = 235310022210221
BaseRepresentation
bin1001000111010111101001…
…0001111011001111001000
31022111010002001200101022011
42101311322101323033020
52303200441304033000
633152050111105304
72053036466200225
oct221657221731710
938433061611264
1010022210221000
11321443943386a
12115a455b12234
13579123702b23
14269112b9294c
15125a79c492ba
hex91d7a47b3c8

10022210221000 has 32 divisors (see below), whose sum is σ = 23451971919480. Its totient is φ = 4008884088000.

The previous prime is 10022210220991. The next prime is 10022210221057. The reversal of 10022210221000 is 12201222001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4587315807204 + 5434894413796 = 2141802^2 + 2331286^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5011104111 + ... + 5011106110.

Almost surely, 210022210221000 is an apocalyptic number.

10022210221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022210221000 is an abundant number, since it is smaller than the sum of its proper divisors (13429761698480).

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

10022210221000 is a wasteful number, since it uses less digits than its factorization.

10022210221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022210242 (or 10022210228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10022210221000 its reverse (12201222001), we get a palindrome (10034411443001).

The spelling of 10022210221000 in words is "ten trillion, twenty-two billion, two hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10022210221 20044420442 40088840884 50111051105 80177681768 100222102210 200444204420 250555255525 400888408840 501110511050 1002221022100 1252776277625 2004442044200 2505552555250 5011105110500 10022210221000