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300103130133 = 3237901210601
BaseRepresentation
bin1000101110111111000…
…10100101110000010101
31001200121200222120200200
410113133202211300111
514404102400131013
6345510535331113
730452556342312
oct4273742456025
91050550876620
10300103130133
11106300436514
124a1b3b20a99
13223b82ca061
141074cb09d09
157c16780e73
hex45df8a5c15

300103130133 has 12 divisors (see below), whose sum is σ = 445198037388. Its totient is φ = 194661489600.

The previous prime is 300103130101. The next prime is 300103130137. The reversal of 300103130133 is 331031301003.

300103130133 is a `hidden beast` number, since 300 + 1 + 0 + 31 + 301 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 291661563249 + 8441566884 = 540057^2 + 91878^2 .

It is not a de Polignac number, because 300103130133 - 25 = 300103130101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (300103130137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 450604968 + ... + 450605633.

It is an arithmetic number, because the mean of its divisors is an integer number (37099836449).

Almost surely, 2300103130133 is an apocalyptic number.

It is an amenable number.

300103130133 is a deficient number, since it is larger than the sum of its proper divisors (145094907255).

300103130133 is a wasteful number, since it uses less digits than its factorization.

300103130133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901210644 (or 901210641 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 300103130133 its reverse (331031301003), we get a palindrome (631134431136).

The spelling of 300103130133 in words is "three hundred billion, one hundred three million, one hundred thirty thousand, one hundred thirty-three".

Divisors: 1 3 9 37 111 333 901210601 2703631803 8110895409 33344792237 100034376711 300103130133