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2024131005 = 335138912959
BaseRepresentation
bin111100010100101…
…1100100110111101
312020001202111202000
41320221130212331
513121134143010
6532504052513
7101105554401
oct17051344675
95201674660
102024131005
11949629646
12485a64139
13263475b70
14152b7b101
15bca7c7c0
hex78a5c9bd

2024131005 has 64 divisors (see below), whose sum is σ = 3919104000. Its totient is φ = 985222656.

The previous prime is 2024130989. The next prime is 2024131007. The reversal of 2024131005 is 5001314202.

It is not a de Polignac number, because 2024131005 - 24 = 2024130989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024131007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149716 + ... + 162674.

It is an arithmetic number, because the mean of its divisors is an integer number (61236000).

Almost surely, 22024131005 is an apocalyptic number.

It is an amenable number.

2024131005 is a deficient number, since it is larger than the sum of its proper divisors (1894972995).

2024131005 is a wasteful number, since it uses less digits than its factorization.

2024131005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13075 (or 13069 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2024131005 is about 44990.3434639035. The cubic root of 2024131005 is about 1264.9679995238.

Adding to 2024131005 its reverse (5001314202), we get a palindrome (7025445207).

The spelling of 2024131005 in words is "two billion, twenty-four million, one hundred thirty-one thousand, five".

Divisors: 1 3 5 9 13 15 27 39 45 65 89 117 135 195 267 351 445 585 801 1157 1335 1755 2403 3471 4005 5785 10413 12015 12959 17355 31239 38877 52065 64795 116631 156195 168467 194385 349893 505401 583155 842335 1153351 1516203 1749465 2527005 3460053 4548609 5766755 7581015 10380159 14993563 17300265 22743045 31140477 44980689 51900795 74967815 134942067 155702385 224903445 404826201 674710335 2024131005