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312311302303 = 72112134051939
BaseRepresentation
bin1001000101101110011…
…01000100100010011111
31002212010111210222120111
410202313031010202133
520104103143133203
6355250203030451
731364236161100
oct4426715044237
91085114728514
10312311302303
111104a5651a00
125064050b427
13235b261a780
141118a2363a7
1581cd42226d
hex48b734489f

312311302303 has 36 divisors (see below), whose sum is σ = 430048599960. Its totient is φ = 224639442720.

The previous prime is 312311302291. The next prime is 312311302363. The reversal of 312311302303 is 303203113213.

It is a de Polignac number, because none of the positive numbers 2k-312311302303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312311302363) 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 35 ways as a sum of consecutive naturals, for example, 1948893 + ... + 2103046.

Almost surely, 2312311302303 is an apocalyptic number.

312311302303 is a deficient number, since it is larger than the sum of its proper divisors (117737297657).

312311302303 is a wasteful number, since it uses less digits than its factorization.

312311302303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4051988 (or 4051970 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 312311302303 its reverse (303203113213), we get a palindrome (615514415516).

The spelling of 312311302303 in words is "three hundred twelve billion, three hundred eleven million, three hundred two thousand, three hundred three".

Divisors: 1 7 11 13 49 77 91 121 143 539 637 847 1001 1573 5929 7007 11011 77077 4051939 28363573 44571329 52675207 198545011 311999303 368726449 490284619 579427277 2183995121 2581085143 3431992333 4055990939 6373700047 24023946331 28391936573 44615900329 312311302303