Search a number
-
+
10323233301433 = 1327291219723857
BaseRepresentation
bin1001011000111001000010…
…1001110110001110111001
31100112220001212201021120011
42112032100221312032321
52323113440211121213
633542232232301521
72113554226152433
oct226162051661671
940486055637504
1010323233301433
113320071088588
1211a8865b418a1
1359b627490170
1427990bb2d653
1512d7e714803d
hex96390a763b9

10323233301433 has 16 divisors (see below), whose sum is σ = 11122779966480. Its totient is φ = 9524466395136.

The previous prime is 10323233301379. The next prime is 10323233301439. The reversal of 10323233301433 is 33410333232301.

10323233301433 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 8 ways, for example, as 48054339369 + 10275178962064 = 219213^2 + 3205492^2 .

It is a cyclic number.

It is not a de Polignac number, because 10323233301433 - 237 = 10185794347961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10323233301395 and 10323233301404.

It is not an unprimeable number, because it can be changed into a prime (10323233301439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 432701041 + ... + 432724897.

It is an arithmetic number, because the mean of its divisors is an integer number (695173747905).

Almost surely, 210323233301433 is an apocalyptic number.

10323233301433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10323233301433 is a deficient number, since it is larger than the sum of its proper divisors (799546665047).

10323233301433 is a wasteful number, since it uses less digits than its factorization.

10323233301433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38796.

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 10323233301433 its reverse (33410333232301), we get a palindrome (43733566533734).

The spelling of 10323233301433 in words is "ten trillion, three hundred twenty-three billion, two hundred thirty-three million, three hundred one thousand, four hundred thirty-three".

Divisors: 1 13 2729 12197 23857 35477 158561 310141 33285613 65105753 290983829 432712969 846374789 3782789777 794094869341 10323233301433