Search a number
-
+
10010220000 = 253541129523
BaseRepresentation
bin10010101001010011…
…11101010111100000
3221211121222212022220
421110221331113200
5131000104020000
64333145431040
7503030315604
oct112451752740
927747885286
1010010220000
1142775654a0
121b3449b480
13c36b58201
146ad663504
153d8c2b1a0
hex254a7d5e0

10010220000 has 480 divisors, whose sum is σ = 37126615680. Its totient is φ = 2338560000.

The previous prime is 10010219981. The next prime is 10010220049. The reversal of 10010220000 is 2201001.

It is a happy number.

10010220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19139739 + ... + 19140261.

It is an arithmetic number, because the mean of its divisors is an integer number (77347116).

Almost surely, 210010220000 is an apocalyptic number.

10010220000 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 10010220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18563307840).

10010220000 is an abundant number, since it is smaller than the sum of its proper divisors (27116395680).

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

10010220000 is a wasteful number, since it uses less digits than its factorization.

10010220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10010220000 its reverse (2201001), we get a palindrome (10012421001).

The spelling of 10010220000 in words is "ten billion, ten million, two hundred twenty thousand".