Search a number
-
+
10143041020 = 225772450293
BaseRepresentation
bin10010111001001001…
…01000010111111100
3222011212220212111221
421130210220113330
5131233104303040
64354252323124
7506232266110
oct113444502774
928155825457
1010143041020
114335533932
121b70a734a4
13c58520a28
146c3159740
153e571574a
hex25c9285fc

10143041020 has 24 divisors (see below), whose sum is σ = 24343298784. Its totient is φ = 3477614016.

The previous prime is 10143040969. The next prime is 10143041033. The reversal of 10143041020 is 2014034101.

10143041020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101430410202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10143040985 and 10143041003.

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 7 ways as a sum of consecutive naturals, for example, 36225007 + ... + 36225286.

It is an arithmetic number, because the mean of its divisors is an integer number (1014304116).

Almost surely, 210143041020 is an apocalyptic number.

10143041020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10143041020 is an abundant number, since it is smaller than the sum of its proper divisors (14200257764).

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

10143041020 is a wasteful number, since it uses less digits than its factorization.

10143041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72450309 (or 72450307 counting only the distinct ones).

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

Adding to 10143041020 its reverse (2014034101), we get a palindrome (12157075121).

The spelling of 10143041020 in words is "ten billion, one hundred forty-three million, forty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 72450293 144900586 289801172 362251465 507152051 724502930 1014304102 1449005860 2028608204 2535760255 5071520510 10143041020