Search a number
-
+
2231300113031 = 113158611116431
BaseRepresentation
bin100000011110000011110…
…110011100001010000111
321220022101010211000122002
4200132003312130022013
5243024200312104111
64425013425055515
7320130461011643
oct40360366341207
97808333730562
102231300113031
1179031a8201a0
12300535a8759b
131325453c2b92
1479dd1929c23
153d09428e63b
hex20783d9c287

2231300113031 has 16 divisors (see below), whose sum is σ = 2513097363456. Its totient is φ = 1962683940000.

The previous prime is 2231300113001. The next prime is 2231300113073. The reversal of 2231300113031 is 1303110031322.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2231300113031 is a prime.

It is a super-3 number, since 3×22313001130313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2231300112994 and 2231300113012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231300113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440386 + ... + 2556816.

It is an arithmetic number, because the mean of its divisors is an integer number (157068585216).

Almost surely, 22231300113031 is an apocalyptic number.

2231300113031 is a deficient number, since it is larger than the sum of its proper divisors (281797250425).

2231300113031 is a wasteful number, since it uses less digits than its factorization.

2231300113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122334.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 2231300113031 its reverse (1303110031322), we get a palindrome (3534410144353).

The spelling of 2231300113031 in words is "two trillion, two hundred thirty-one billion, three hundred million, one hundred thirteen thousand, thirty-one".

Divisors: 1 11 31 341 5861 64471 181691 1116431 1998601 12280741 34609361 380702971 6543402091 71977423001 202845464821 2231300113031