Search a number
-
+
10050303432 = 2331341785671
BaseRepresentation
bin10010101110000101…
…10111010111001000
3221221102102022110110
421113002313113020
5131040334202212
64341140514320
7504025112121
oct112702672710
927842368413
1010050303432
1142981527a4
121b459ab9a0
13c42250a10
146b4ad9048
153dc4e7a3c
hex2570b75c8

10050303432 has 64 divisors (see below), whose sum is σ = 27718508160. Its totient is φ = 3016972800.

The previous prime is 10050303427. The next prime is 10050303433. The reversal of 10050303432 is 23430305001.

10050303432 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 = 10050303399 and 10050303408.

It is not an unprimeable number, because it can be changed into a prime (10050303433) by changing a digit.

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, 380044 + ... + 405627.

It is an arithmetic number, because the mean of its divisors is an integer number (433101690).

Almost surely, 210050303432 is an apocalyptic number.

10050303432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10050303432 is an abundant number, since it is smaller than the sum of its proper divisors (17668204728).

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

10050303432 is a wasteful number, since it uses less digits than its factorization.

10050303432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785734 (or 785730 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 10050303432 its reverse (23430305001), we get a palindrome (33480608433).

The spelling of 10050303432 in words is "ten billion, fifty million, three hundred three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 12792 785671 1571342 2357013 3142684 4714026 6285368 9428052 10213723 18856104 20427446 30641169 32212511 40854892 61282338 64425022 81709784 96637533 122564676 128850044 193275066 245129352 257700088 386550132 418762643 773100264 837525286 1256287929 1675050572 2512575858 3350101144 5025151716 10050303432