Search a number
-
+
10113332000 = 255310125033
BaseRepresentation
bin10010110101100110…
…10011001100100000
3222002211000111101212
421122303103030200
5131203003111000
64351311445252
7505421621642
oct113263231440
928084014355
1010113332000
11431a792022
121b62b26828
13c5231b325
146bd224892
153e2ce7c35
hex25acd3320

10113332000 has 96 divisors (see below), whose sum is σ = 25095483504. Its totient is φ = 4005120000.

The previous prime is 10113331999. The next prime is 10113332041. The reversal of 10113332000 is 23331101.

It can be written as a sum of positive squares in 8 ways, for example, as 558660496 + 9554671504 = 23636^2 + 97748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391484 + ... + 416516.

Almost surely, 210113332000 is an apocalyptic number.

10113332000 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 10113332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547741752).

10113332000 is an abundant number, since it is smaller than the sum of its proper divisors (14982151504).

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

10113332000 is a wasteful number, since it uses less digits than its factorization.

10113332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25159 (or 25141 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 10113332000 its reverse (23331101), we get a palindrome (10136663101).

The spelling of 10113332000 in words is "ten billion, one hundred thirteen million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25033 25250 40400 50066 50500 80800 100132 101000 125165 200264 202000 250330 400528 404000 500660 625825 801056 1001320 1251650 2002640 2503300 2528333 3129125 4005280 5006600 5056666 6258250 10013200 10113332 12516500 12641665 20026400 20226664 25033000 25283330 40453328 50066000 50566660 63208325 80906656 100132000 101133320 126416650 202266640 252833300 316041625 404533280 505666600 632083250 1011333200 1264166500 2022666400 2528333000 5056666000 10113332000