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300313123201 = 7213236265321
BaseRepresentation
bin1000101111011000000…
…11101001100110000001
31001201011100010100000201
410113230003221212001
514410020124420301
6345543440245201
730461016300100
oct4275403514601
91051140110021
10300313123201
111063a8a24403
124a252310801
132241c972a00
141076c970037
157c29e11201
hex45ec0e9981

300313123201 has 18 divisors (see below), whose sum is σ = 378283573782. Its totient is φ = 237610376640.

The previous prime is 300313123183. The next prime is 300313123213. The reversal of 300313123201 is 102321313003.

It can be written as a sum of positive squares in 3 ways, for example, as 3777331600 + 296535791601 = 61460^2 + 544551^2 .

It is not a de Polignac number, because 300313123201 - 225 = 300279568769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (300313123301) 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 17 ways as a sum of consecutive naturals, for example, 18124380 + ... + 18140941.

It is an arithmetic number, because the mean of its divisors is an integer number (21015754099).

Almost surely, 2300313123201 is an apocalyptic number.

It is an amenable number.

300313123201 is a deficient number, since it is larger than the sum of its proper divisors (77970450581).

300313123201 is a wasteful number, since it uses less digits than its factorization.

300313123201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36265361 (or 36265341 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 300313123201 its reverse (102321313003), we get a palindrome (402634436204).

The spelling of 300313123201 in words is "three hundred billion, three hundred thirteen million, one hundred twenty-three thousand, two hundred one".

Divisors: 1 7 13 49 91 169 637 1183 8281 36265321 253857247 471449173 1777000729 3300144211 6128839249 23101009477 42901874743 300313123201