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10302312031 = 1119291819391
BaseRepresentation
bin10011001100001000…
…01100111001011111
3222120222121200021021
421212010030321133
5132044342441111
64422142145011
7513205131064
oct114604147137
928528550237
1010302312031
114407428570
121bb6282167
13c8251772b
146da378c6b
154046c6d71
hex26610ce5f

10302312031 has 32 divisors (see below), whose sum is σ = 12307276800. Its totient is φ = 8518608000.

The previous prime is 10302312011. The next prime is 10302312049. The reversal of 10302312031 is 13021320301.

10302312031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10302312031 - 213 = 10302303839 is a prime.

It is a super-2 number, since 2×103023120312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10302311996 and 10302312014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10302312011) 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, 1092346 + ... + 1101736.

It is an arithmetic number, because the mean of its divisors is an integer number (384602400).

Almost surely, 210302312031 is an apocalyptic number.

10302312031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10302312031 is a deficient number, since it is larger than the sum of its proper divisors (2004964769).

10302312031 is a wasteful number, since it uses less digits than its factorization.

10302312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9631.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10302312031 its reverse (13021320301), we get a palindrome (23323632332).

The spelling of 10302312031 in words is "ten billion, three hundred two million, three hundred twelve thousand, thirty-one".

Divisors: 1 11 19 29 181 209 319 551 1991 3439 5249 6061 9391 37829 57739 99731 103301 178429 272339 1097041 1699771 1962719 2995729 5174441 18697481 32295649 49293359 56918851 355252139 542226949 936573821 10302312031