Search a number
-
+
10320231400 = 235251601157
BaseRepresentation
bin10011001110010001…
…00011101111101000
3222122020100002000121
421213020203233220
5132113434401100
64424022213024
7513513343123
oct114710435750
928566302017
1010320231400
114416557666
122000284174
13c8614cacb
146dc8c13ba
1540606651a
hex267223be8

10320231400 has 24 divisors (see below), whose sum is σ = 23994538470. Its totient is φ = 4128092480.

The previous prime is 10320231379. The next prime is 10320231407. The reversal of 10320231400 is 413202301.

It is a happy number.

10320231400 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 3 ways, for example, as 5703572484 + 4616658916 = 75522^2 + 67946^2 .

It is a super-2 number, since 2×103202314002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10320231407) 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 5 ways as a sum of consecutive naturals, for example, 25800379 + ... + 25800778.

Almost surely, 210320231400 is an apocalyptic number.

10320231400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10320231400 is an abundant number, since it is smaller than the sum of its proper divisors (13674307070).

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

10320231400 is a wasteful number, since it uses less digits than its factorization.

10320231400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51601173 (or 51601164 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10320231400 its reverse (413202301), we get a palindrome (10733433701).

The spelling of 10320231400 in words is "ten billion, three hundred twenty million, two hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 51601157 103202314 206404628 258005785 412809256 516011570 1032023140 1290028925 2064046280 2580057850 5160115700 10320231400