Search a number
-
+
11331130200023 = 293167367512593
BaseRepresentation
bin1010010011100011101111…
…1111011000111111010111
31111010020121221112201101202
42210320323333120333113
52441122123312400043
640033241020543115
72246434653351434
oct244707377307727
944106557481352
1011331130200023
113679561661247
1213300706b1a9b
136426a081075a
142b2602c82b8b
15149b36ce11b8
hexa4e3bfd8fd7

11331130200023 has 32 divisors (see below), whose sum is σ = 12314066165760. Its totient is φ = 10401024775680.

The previous prime is 11331130200017. The next prime is 11331130200037. The reversal of 11331130200023 is 32000203113311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11331130200023 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11331130199968 and 11331130200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331130200073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21849215 + ... + 22361807.

It is an arithmetic number, because the mean of its divisors is an integer number (384814567680).

Almost surely, 211331130200023 is an apocalyptic number.

11331130200023 is a deficient number, since it is larger than the sum of its proper divisors (982935965737).

11331130200023 is a wasteful number, since it uses less digits than its factorization.

11331130200023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513087.

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

Adding to 11331130200023 its reverse (32000203113311), we get a palindrome (43331333313334).

The spelling of 11331130200023 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, two hundred thousand, twenty-three".

Divisors: 1 29 31 67 367 899 1943 2077 10643 11377 24589 60233 329933 512593 713081 762259 14865197 15890383 22105511 34343731 188121631 460821107 995968199 1064655661 5455527299 5831770561 12604149277 30875014169 169121346269 365520329033 390728627587 11331130200023