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11300141134143 = 334710918162017
BaseRepresentation
bin1010010001110000010011…
…1001011111000100111111
31111000021122021011001201000
42210130010321133010333
52440120142112243033
640011114013421343
72244260013551541
oct244340471370477
944007567131630
1011300141134143
1136673aa0923a4
12132606249a853
1363c7a2569294
142b0d03335691
15148e21445a13
hexa4704e5f13f

11300141134143 has 32 divisors (see below), whose sum is σ = 17112813419520. Its totient is φ = 7366382680320.

The previous prime is 11300141134127. The next prime is 11300141134151. The reversal of 11300141134143 is 34143114100311.

11300141134143 is a `hidden beast` number, since 1 + 1 + 300 + 1 + 4 + 11 + 341 + 4 + 3 = 666.

It is not a de Polignac number, because 11300141134143 - 24 = 11300141134127 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300141130143) 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 31 ways as a sum of consecutive naturals, for example, 2696530 + ... + 5465487.

It is an arithmetic number, because the mean of its divisors is an integer number (534775419360).

Almost surely, 211300141134143 is an apocalyptic number.

11300141134143 is a deficient number, since it is larger than the sum of its proper divisors (5812672285377).

11300141134143 is a wasteful number, since it uses less digits than its factorization.

11300141134143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8163164 (or 8163158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11300141134143 its reverse (34143114100311), we get a palindrome (45443255234454).

The spelling of 11300141134143 in words is "eleven trillion, three hundred billion, one hundred forty-one million, one hundred thirty-four thousand, one hundred forty-three".

Divisors: 1 3 9 27 47 141 423 1091 1269 3273 9819 29457 51277 153831 461493 1384479 8162017 24486051 73458153 220374459 383614799 1150844397 3452533191 8904760547 10357599573 26714281641 80142844923 240428534769 418523745709 1255571237127 3766713711381 11300141134143