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10302320313 = 337139713537
BaseRepresentation
bin10011001100001000…
…01110111010111001
3222120222122002122000
421212010032322321
5132044343222223
64422142251213
7513205164165
oct114604167271
928528562560
1010302320313
11440743380a
121bb6286b09
13c8251b42c
146da37bca5
154046c9543
hex26610eeb9

10302320313 has 32 divisors (see below), whose sum is σ = 15517797120. Its totient is φ = 6753922560.

The previous prime is 10302320309. The next prime is 10302320321. The reversal of 10302320313 is 31302320301.

10302320313 is a `hidden beast` number, since 1 + 0 + 30 + 2 + 320 + 313 = 666.

10302320313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10302320313 - 22 = 10302320309 is a prime.

It is a super-2 number, since 2×103023203132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10302320323) 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 31 ways as a sum of consecutive naturals, for example, 754281 + ... + 767817.

It is an arithmetic number, because the mean of its divisors is an integer number (484931160).

Almost surely, 210302320313 is an apocalyptic number.

It is an amenable number.

10302320313 is a deficient number, since it is larger than the sum of its proper divisors (5215476807).

10302320313 is a wasteful number, since it uses less digits than its factorization.

10302320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14014 (or 14008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10302320313 its reverse (31302320301), we get a palindrome (41604640614).

The spelling of 10302320313 in words is "ten billion, three hundred two million, three hundred twenty thousand, three hundred thirteen".

Divisors: 1 3 9 27 71 213 397 639 1191 1917 3573 10719 13537 28187 40611 84561 121833 253683 365499 761049 961127 2883381 5374189 8650143 16122567 25950429 48367701 145103103 381567419 1144702257 3434106771 10302320313