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7300048131 = 342347263317
BaseRepresentation
bin1101100110001110…
…11110010100000011
3200211202022212110000
412303013132110003
5104422303020011
63204213211043
7345621246105
oct66307362403
920752285400
107300048131
113106761232
1214b8930a83
138c451c90c
144d3743575
152cad37356
hex1b31de503

7300048131 has 80 divisors (see below), whose sum is σ = 11702237184. Its totient is φ = 4524417216.

The previous prime is 7300048103. The next prime is 7300048153. The reversal of 7300048131 is 1318400037.

It is not a de Polignac number, because 7300048131 - 25 = 7300048099 is a prime.

It is a super-2 number, since 2×73000481312 (a number of 21 digits) contains 22 as substring.

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 = 7300048095 and 7300048104.

It is not an unprimeable number, because it can be changed into a prime (7300048331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23028385 + ... + 23028701.

Almost surely, 27300048131 is an apocalyptic number.

7300048131 is a deficient number, since it is larger than the sum of its proper divisors (4402189053).

7300048131 is a wasteful number, since it uses less digits than its factorization.

7300048131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7300048131 is about 85440.3191180838. The cubic root of 7300048131 is about 1939.8816779609.

Adding to 7300048131 its reverse (1318400037), we get a palindrome (8618448168).

The spelling of 7300048131 in words is "seven billion, three hundred million, forty-eight thousand, one hundred thirty-one".

Divisors: 1 3 9 23 27 47 69 81 141 207 263 317 423 621 789 951 1081 1269 1863 2367 2853 3243 3807 6049 7101 7291 8559 9729 12361 14899 18147 21303 21873 25677 29187 37083 44697 54441 65619 83371 87561 111249 134091 163323 196857 250113 284303 333747 342677 402273 489969 590571 750339 852909 1001241 1028031 1206819 1917533 2251017 2558727 3084093 3918437 5752599 6753051 7676181 9252279 11755311 17257797 23028543 27756837 35265933 51773391 90124051 105797799 155320173 270372153 317393397 811116459 2433349377 7300048131