Search a number
-
+
10341032420 = 225517051621
BaseRepresentation
bin10011010000101111…
…11010000111100100
3222200200110212122202
421220113322013210
5132134301014140
64430044114032
7514155216365
oct115027720744
928620425582
1010341032420
114427274794
122007235918
13c8a5539c4
14701577b6c
15407cc4915
hex2685fa1e4

10341032420 has 12 divisors (see below), whose sum is σ = 21716168124. Its totient is φ = 4136412960.

The previous prime is 10341032417. The next prime is 10341032437. The reversal of 10341032420 is 2423014301.

10341032420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8120172544 + 2220859876 = 90112^2 + 47126^2 .

It is a super-2 number, since 2×103410324202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 517051621 = 10341032420 / (1 + 0 + 3 + 4 + 1 + 0 + 3 + 2 + 4 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 10341032392 and 10341032401.

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 3 ways as a sum of consecutive naturals, for example, 258525791 + ... + 258525830.

It is an arithmetic number, because the mean of its divisors is an integer number (1809680677).

Almost surely, 210341032420 is an apocalyptic number.

10341032420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10341032420 is an abundant number, since it is smaller than the sum of its proper divisors (11375135704).

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

10341032420 is a wasteful number, since it uses less digits than its factorization.

10341032420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517051630 (or 517051628 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10341032420 its reverse (2423014301), we get a palindrome (12764046721).

The spelling of 10341032420 in words is "ten billion, three hundred forty-one million, thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 517051621 1034103242 2068206484 2585258105 5170516210 10341032420