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300130301331 = 327191991259977
BaseRepresentation
bin1000101111000010010…
…10001111010110010011
31001200200121010000120100
410113201022033112103
514404131324120311
6345513345543443
730453336316530
oct4274112172623
91050617100510
10300130301331
11106314804653
124a201044b83
13223c0b215a3
141075257dd87
157c18d4ba56
hex45e128f593

300130301331 has 48 divisors (see below), whose sum is σ = 524150848000. Its totient is φ = 161659960704.

The previous prime is 300130301329. The next prime is 300130301333. The reversal of 300130301331 is 133103031003.

300130301331 is a `hidden beast` number, since 3 + 0 + 0 + 1 + 30 + 301 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (300130301329) and next prime (300130301333).

It is not a de Polignac number, because 300130301331 - 21 = 300130301329 is a prime.

It is a super-2 number, since 2×3001303013312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (300130301333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391786 + ... + 868191.

Almost surely, 2300130301331 is an apocalyptic number.

300130301331 is a deficient number, since it is larger than the sum of its proper divisors (224020546669).

300130301331 is a wasteful number, since it uses less digits than its factorization.

300130301331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260208 (or 1260205 counting only the distinct ones).

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

Adding to 300130301331 its reverse (133103031003), we get a palindrome (433233332334).

The spelling of 300130301331 in words is "three hundred billion, one hundred thirty million, three hundred one thousand, three hundred thirty-one".

Divisors: 1 3 7 9 19 21 57 63 133 171 199 399 597 1197 1393 1791 3781 4179 11343 12537 26467 34029 79401 238203 1259977 3779931 8819839 11339793 23939563 26459517 71818689 79378551 167576941 215456067 250735423 502730823 752206269 1508192469 1755147961 2256618807 4763973037 5265443883 14291919111 15796331649 33347811259 42875757333 100043433777 300130301331