Search a number
-
+
111123003331131 = 31113125705066697
BaseRepresentation
bin11001010001000011010111…
…001000111101001000111011
3112120110020220011102211212220
4121101003113020331020323
5104031114402323044011
61032201111502335123
732256241420366461
oct3121032710751073
9476406804384786
10111123003331131
1132453001456350
1210568470b8a4a3
134a00b14a33b6c
141d6254c522831
15cca86e930506
hex6510d723d23b

111123003331131 has 16 divisors (see below), whose sum is σ = 162867302598528. Its totient is φ = 66833173409600.

The previous prime is 111123003331127. The next prime is 111123003331181. The reversal of 111123003331131 is 131133300321111.

It is a cyclic number.

It is not a de Polignac number, because 111123003331131 - 22 = 111123003331127 is a prime.

It is a super-2 number, since 2×1111230033311312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111123003331181) 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, 12852529026 + ... + 12852537671.

It is an arithmetic number, because the mean of its divisors is an integer number (10179206412408).

Almost surely, 2111123003331131 is an apocalyptic number.

111123003331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111123003331131 is a deficient number, since it is larger than the sum of its proper divisors (51744299267397).

111123003331131 is a wasteful number, since it uses less digits than its factorization.

111123003331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25705066842.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 111123003331131 its reverse (131133300321111), we get a palindrome (242256303652242).

The spelling of 111123003331131 in words is "one hundred eleven trillion, one hundred twenty-three billion, three million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 131 393 1441 4323 25705066697 77115200091 282755733667 848267201001 3367363737307 10102091211921 37041001110377 111123003331131