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10302023313 = 34417730449
BaseRepresentation
bin10011001100000110…
…00110011010010001
3222120222002000020000
421212003012122101
5132044304221223
64422132040213
7513202516251
oct114603063221
928528060200
1010302023313
11440725065a
121bb6163069
13c824461aa
146da301961
1540466b543
hex2660c6691

10302023313 has 20 divisors (see below), whose sum is σ = 15393632100. Its totient is φ = 6866145792.

The previous prime is 10302023299. The next prime is 10302023363. The reversal of 10302023313 is 31332020301.

It can be written as a sum of positive squares in 2 ways, for example, as 5515735824 + 4786287489 = 74268^2 + 69183^2 .

It is a de Polignac number, because none of the positive numbers 2k-10302023313 is a prime.

It is a super-2 number, since 2×103020233132 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10302023363) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 323113 + ... + 353561.

It is an arithmetic number, because the mean of its divisors is an integer number (769681605).

Almost surely, 210302023313 is an apocalyptic number.

It is an amenable number.

10302023313 is a deficient number, since it is larger than the sum of its proper divisors (5091608787).

10302023313 is an equidigital number, since it uses as much as digits as its factorization.

10302023313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34638 (or 34629 counting only the distinct ones).

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

Adding to 10302023313 its reverse (31332020301), we get a palindrome (41634043614).

The spelling of 10302023313 in words is "ten billion, three hundred two million, twenty-three thousand, three hundred thirteen".

Divisors: 1 3 9 27 81 4177 12531 30449 37593 91347 112779 274041 338337 822123 2466369 127185473 381556419 1144669257 3434007771 10302023313