Search a number
-
+
10010220000200 = 23527174678211097
BaseRepresentation
bin1001000110101010111110…
…0110110111001111001000
31022102222010102222001111022
42101222233212313033020
52303001412310001300
633142344231052012
72052133404043250
oct221525746671710
938388112861438
1010010220000200
11320a346251482
12115806a511008
13577c625b3514
142686d659c960
151255c72ab285
hex91aaf9b73c8

10010220000200 has 384 divisors, whose sum is σ = 28283650087680. Its totient is φ = 3216411033600.

The previous prime is 10010220000113. The next prime is 10010220000223. The reversal of 10010220000200 is 200002201001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9125086052 + ... + 9125087148.

It is an arithmetic number, because the mean of its divisors is an integer number (73655338770).

Almost surely, 210010220000200 is an apocalyptic number.

10010220000200 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 10010220000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141825043840).

10010220000200 is an abundant number, since it is smaller than the sum of its proper divisors (18273430087480).

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

10010220000200 is a wasteful number, since it uses less digits than its factorization.

10010220000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10010220000200 its reverse (200002201001), we get a palindrome (10210222201201).

The spelling of 10010220000200 in words is "ten trillion, ten billion, two hundred twenty million, two hundred", and thus it is an aban number.