Search a number
-
+
11313203101001 = 173721323843503
BaseRepresentation
bin1010010010100000111101…
…1100111011110101001001
31111001112100120112201201022
42210220033130323311021
52440323414443213001
640021114101002225
72245231501464554
oct244501734736511
944045316481638
1011313203101001
1136719a224142a
1213286a89b3375
13640aa4726259
142b17c1dd169b
1514943803811b
hexa4a0f73bd49

11313203101001 has 16 divisors (see below), whose sum is σ = 12303025438464. Its totient is φ = 10359446194944.

The previous prime is 11313203100943. The next prime is 11313203101003. The reversal of 11313203101001 is 10010130231311.

It is a cyclic number.

It is not a de Polignac number, because 11313203101001 - 210 = 11313203099977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11313203101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12990416 + ... + 13833918.

It is an arithmetic number, because the mean of its divisors is an integer number (768939089904).

Almost surely, 211313203101001 is an apocalyptic number.

It is an amenable number.

11313203101001 is a deficient number, since it is larger than the sum of its proper divisors (989822337463).

11313203101001 is a wasteful number, since it uses less digits than its factorization.

11313203101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864880.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 11313203101001 its reverse (10010130231311), we get a palindrome (21323333332312).

The spelling of 11313203101001 in words is "eleven trillion, three hundred thirteen billion, two hundred three million, one hundred one thousand, one".

Divisors: 1 17 37 629 21323 362491 788951 843503 13412167 14339551 31209611 530563387 17986014469 305762245973 665482535353 11313203101001