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10113332130 = 23251117619851
BaseRepresentation
bin10010110101100110…
…10011001110100010
3222002211000111120200
421122303103032202
5131203003112010
64351311450030
7505421622216
oct113263231642
928084014520
1010113332130
11431a792130
121b62b26916
13c5231b3c5
146bd224946
153e2ce7cc0
hex25acd33a2

10113332130 has 192 divisors, whose sum is σ = 30873488256. Its totient is φ = 2269440000.

The previous prime is 10113332129. The next prime is 10113332149. The reversal of 10113332130 is 3123331101.

It is a happy number.

10113332130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 1021705 + ... + 1031555.

It is an arithmetic number, because the mean of its divisors is an integer number (160799418).

Almost surely, 210113332130 is an apocalyptic number.

10113332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10113332130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436744128).

10113332130 is an abundant number, since it is smaller than the sum of its proper divisors (20760156126).

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

10113332130 is a wasteful number, since it uses less digits than its factorization.

10113332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9953 (or 9950 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10113332130 its reverse (3123331101), we get a palindrome (13236663231).

It can be divided in two parts, 10113 and 332130, that added together give a palindrome (342243).

The spelling of 10113332130 in words is "ten billion, one hundred thirteen million, three hundred thirty-two thousand, one hundred thirty".