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11312124322041 = 333578171170899
BaseRepresentation
bin1010010010011100111100…
…1001101110000011111001
31111001102120101122002012000
42210213033021232003321
52440314212311301131
640020415043011213
72245162662144444
oct244471711560371
944042511562160
1011312124322041
113671499300874
121328447669b09
136409620956ca
142b171ca1865b
151493c3494ce6
hexa49cf26e0f9

11312124322041 has 16 divisors (see below), whose sum is σ = 16758763848000. Its totient is φ = 7541388697824.

The previous prime is 11312124322027. The next prime is 11312124322117. The reversal of 11312124322041 is 14022342121311.

11312124322041 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 21 + 2 + 432 + 204 + 1 = 666.

It is not a de Polignac number, because 11312124322041 - 213 = 11312124313849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11312124321996 and 11312124322014.

It is not an unprimeable number, because it can be changed into a prime (11312124322021) 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, 9075610 + ... + 10246508.

It is an arithmetic number, because the mean of its divisors is an integer number (1047422740500).

Almost surely, 211312124322041 is an apocalyptic number.

It is an amenable number.

11312124322041 is a deficient number, since it is larger than the sum of its proper divisors (5446639525959).

11312124322041 is a wasteful number, since it uses less digits than its factorization.

11312124322041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528725 (or 1528719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11312124322041 its reverse (14022342121311), we get a palindrome (25334466443352).

It can be divided in two parts, 1131212 and 4322041, that added together give a triangular number (5453253 = T3302).

The spelling of 11312124322041 in words is "eleven trillion, three hundred twelve billion, one hundred twenty-four million, three hundred twenty-two thousand, forty-one".

Divisors: 1 3 9 27 357817 1073451 1170899 3220353 3512697 9661059 10538091 31614273 418967567483 1256902702449 3770708107347 11312124322041