Search a number
-
+
10021020003300 = 22352172953121283
BaseRepresentation
bin1001000111010011001101…
…0101100110101111100100
31022111000000010002001120010
42101310303111212233210
52303141022110101200
633151332032410220
72052665134413615
oct221646325465744
938430003061503
1010021020003300
1132139885a9679
12115a1833a6970
13578c93c550b7
1426903ca8bc0c
15125a0a4e2150
hex91d33566be4

10021020003300 has 216 divisors, whose sum is σ = 30832588525536. Its totient is φ = 2512419696640.

The previous prime is 10021020003289. The next prime is 10021020003331. The reversal of 10021020003300 is 330002012001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 71 ways as a sum of consecutive naturals, for example, 82564459 + ... + 82685741.

It is an arithmetic number, because the mean of its divisors is an integer number (142743465396).

Almost surely, 210021020003300 is an apocalyptic number.

10021020003300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10021020003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15416294262768).

10021020003300 is an abundant number, since it is smaller than the sum of its proper divisors (20811568522236).

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

10021020003300 is a wasteful number, since it uses less digits than its factorization.

10021020003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122287 (or 122263 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10021020003300 its reverse (330002012001), we get a palindrome (10351022015301).

The spelling of 10021020003300 in words is "ten trillion, twenty-one billion, twenty million, three thousand, three hundred".