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2402123013 = 3319231631249
BaseRepresentation
bin1000111100101101…
…0111110100000101
320012102000111022000
42033023113310011
514404420414023
61034205455513
7113345465043
oct21713276405
96172014260
102402123013
111022a32634
12570571599
132c3880084
1418b053393
15e0d45243
hex8f2d7d05

2402123013 has 64 divisors (see below), whose sum is σ = 3936000000. Its totient is φ = 1441110528.

The previous prime is 2402122999. The next prime is 2402123039. The reversal of 2402123013 is 3103212042.

It is not a de Polignac number, because 2402123013 - 24 = 2402122997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402123093) 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 63 ways as a sum of consecutive naturals, for example, 1922613 + ... + 1923861.

It is an arithmetic number, because the mean of its divisors is an integer number (61500000).

Almost surely, 22402123013 is an apocalyptic number.

2402123013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2402123013 is a deficient number, since it is larger than the sum of its proper divisors (1533876987).

2402123013 is a wasteful number, since it uses less digits than its factorization.

2402123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2402123013 is about 49011.4579766813. The cubic root of 2402123013 is about 1339.2605657193.

Adding to 2402123013 its reverse (3103212042), we get a palindrome (5505335055).

The spelling of 2402123013 in words is "two billion, four hundred two million, one hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 19 23 27 57 69 163 171 207 437 489 513 621 1249 1311 1467 3097 3747 3749 3933 4401 9291 11241 11247 11799 23731 27873 28727 33723 33741 71193 71231 83619 86181 101223 203587 213579 213693 258543 545813 610761 640737 641079 775629 1637439 1832283 1923237 3868153 4682501 4912317 5496849 11604459 14047503 14736951 34813377 42142509 88967519 104440131 126427527 266902557 800707671 2402123013