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2003323023 = 341323181457
BaseRepresentation
bin111011101101000…
…0100100010001111
312011121121100120000
41313122010202033
513100322314043
6530442055343
7100433651622
oct16732044217
95147540500
102003323023
11938907269
1247aaaa553
1325c06ba50
141500c1db9
15bad1c2d3
hex7768488f

2003323023 has 80 divisors (see below), whose sum is σ = 3388921536. Its totient is φ = 1170132480.

The previous prime is 2003322989. The next prime is 2003323039. The reversal of 2003323023 is 3203233002.

2003323023 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-2003323023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2003322987 and 2003323005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003323043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4383411 + ... + 4383867.

Almost surely, 22003323023 is an apocalyptic number.

2003323023 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2003323023 is a deficient number, since it is larger than the sum of its proper divisors (1385598513).

2003323023 is a wasteful number, since it uses less digits than its factorization.

2003323023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 2003323023 is about 44758.4966570594. The cubic root of 2003323023 is about 1260.6184548931.

Adding to 2003323023 its reverse (3203233002), we get a palindrome (5206556025).

The spelling of 2003323023 in words is "two billion, three million, three hundred twenty-three thousand, twenty-three".

Divisors: 1 3 9 13 23 27 39 69 81 117 181 207 299 351 457 543 621 897 1053 1371 1629 1863 2353 2691 4113 4163 4887 5941 7059 8073 10511 12339 12489 14661 17823 21177 24219 31533 37017 37467 53469 54119 63531 82717 94599 112401 136643 160407 162357 190593 248151 283797 337203 409929 481221 487071 744453 851391 1075321 1229787 1461213 1902491 2233359 3225963 3689361 4383639 5707473 6700077 9677889 11068083 17122419 24732383 29033667 51367257 74197149 87101001 154101771 222591447 667774341 2003323023