Search a number
-
+
10143202120 = 235599914337
BaseRepresentation
bin10010111001001010…
…01111101101001000
3222011220020001111121
421130211033231020
5131233124431440
64354300005024
7506233536562
oct113445175510
928156201447
1010143202120
114335633977
121b70b30774
13c5857915c
146c319c332
153e574834a
hex25c94fb48

10143202120 has 64 divisors (see below), whose sum is σ = 23237798400. Its totient is φ = 3983569920.

The previous prime is 10143202109. The next prime is 10143202177. The reversal of 10143202120 is 2120234101.

10143202120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10143202094 and 10143202103.

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 15 ways as a sum of consecutive naturals, for example, 2336592 + ... + 2340928.

It is an arithmetic number, because the mean of its divisors is an integer number (363090600).

Almost surely, 210143202120 is an apocalyptic number.

10143202120 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 10143202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618899200).

10143202120 is an abundant number, since it is smaller than the sum of its proper divisors (13094596280).

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

10143202120 is a wasteful number, since it uses less digits than its factorization.

10143202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5398 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10143202120 its reverse (2120234101), we get a palindrome (12263436221).

The spelling of 10143202120 in words is "ten billion, one hundred forty-three million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 991 1180 1982 2360 3964 4337 4955 7928 8674 9910 17348 19820 21685 34696 39640 43370 58469 86740 116938 173480 233876 255883 292345 467752 511766 584690 1023532 1169380 1279415 2047064 2338760 2558830 4297967 5117660 8595934 10235320 17191868 21489835 34383736 42979670 85959340 171918680 253580053 507160106 1014320212 1267900265 2028640424 2535800530 5071601060 10143202120