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1023304023 = 347101107167
BaseRepresentation
bin111100111111100…
…110000101010111
32122022112020020000
4330333212011113
54043431212043
6245312542343
734233640440
oct7477460527
92568466200
101023304023
114856a0505
122468519b3
13134009451
1499c962c7
155ec862d3
hex3cfe6157

1023304023 has 80 divisors (see below), whose sum is σ = 1791465984. Its totient is φ = 570110400.

The previous prime is 1023304013. The next prime is 1023304031. The reversal of 1023304023 is 3204033201.

It is not a de Polignac number, because 1023304023 - 25 = 1023303991 is a prime.

It is a super-2 number, since 2×10233040232 = 2094302246975969058, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023303987 and 1023304005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023304013) 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 79 ways as a sum of consecutive naturals, for example, 6127486 + ... + 6127652.

Almost surely, 21023304023 is an apocalyptic number.

1023304023 is a deficient number, since it is larger than the sum of its proper divisors (768161961).

1023304023 is a wasteful number, since it uses less digits than its factorization.

1023304023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 1023304023 is about 31989.1235109685. The cubic root of 1023304023 is about 1007.7084350179.

Adding to 1023304023 its reverse (3204033201), we get a palindrome (4227337224).

The spelling of 1023304023 in words is "one billion, twenty-three million, three hundred four thousand, twenty-three".

Divisors: 1 3 7 9 21 27 63 81 101 107 167 189 303 321 501 567 707 749 909 963 1169 1503 2121 2247 2727 2889 3507 4509 6363 6741 8181 8667 10521 10807 13527 16867 17869 19089 20223 31563 32421 50601 53607 57267 60669 75649 94689 97263 118069 125083 151803 160821 226947 291789 354207 375249 455409 482463 680841 875367 1062621 1125747 1366227 1447389 1804769 2042523 3187863 3377241 5414307 6127569 9563589 10131723 12633383 16242921 37900149 48728763 113700447 146186289 341101341 1023304023