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2024113021 = 7241308429
BaseRepresentation
bin111100010100101…
…1000001101111101
312020001201121001221
41320221120031331
513121133104041
6532503433341
7101105451100
oct17051301575
95201647057
102024113021
11949617087
12485a55851
1326346a918
14152b74737
15bca772d1
hex78a5837d

2024113021 has 6 divisors (see below), whose sum is σ = 2354580510. Its totient is φ = 1734953976.

The previous prime is 2024113019. The next prime is 2024113033. The reversal of 2024113021 is 1203114202.

It can be written as a sum of positive squares in only one way, i.e., 1649496996 + 374616025 = 40614^2 + 19355^2 .

It is not a de Polignac number, because 2024113021 - 21 = 2024113019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2024112986 and 2024113004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024113001) 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 5 ways as a sum of consecutive naturals, for example, 20654166 + ... + 20654263.

It is an arithmetic number, because the mean of its divisors is an integer number (392430085).

Almost surely, 22024113021 is an apocalyptic number.

It is an amenable number.

2024113021 is a deficient number, since it is larger than the sum of its proper divisors (330467489).

2024113021 is an equidigital number, since it uses as much as digits as its factorization.

2024113021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41308443 (or 41308436 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2024113021 is about 44990.1435983483. The cubic root of 2024113021 is about 1264.9642531833.

Adding to 2024113021 its reverse (1203114202), we get a palindrome (3227227223).

The spelling of 2024113021 in words is "two billion, twenty-four million, one hundred thirteen thousand, twenty-one".

Divisors: 1 7 49 41308429 289159003 2024113021