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2024010121 = 7264272
BaseRepresentation
bin111100010100011…
…1111000110001001
312020001112100220211
41320220333012021
513121121310441
6532501321121
7101104542100
oct17050770611
95201470824
102024010121
11949556841
12485a061a1
13263432b33
14152b49037
15bca56a81
hex78a3f189

2024010121 has 9 divisors (see below), whose sum is σ = 2354827149. Its totient is φ = 1734595884.

The previous prime is 2024010083. The next prime is 2024010133. The reversal of 2024010121 is 1210104202.

It is a happy number.

The square root of 2024010121 is 44989.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2024010121 - 223 = 2015621513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2024010151) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 311710 + ... + 318136.

It is an arithmetic number, because the mean of its divisors is an integer number (261647461).

Almost surely, 22024010121 is an apocalyptic number.

2024010121 is the 44989-th square number.

2024010121 is the 22495-th centered octagonal number.

It is an amenable number.

2024010121 is a deficient number, since it is larger than the sum of its proper divisors (330817028).

2024010121 is an frugal number, since it uses more digits than its factorization.

2024010121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12868 (or 6434 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The cubic root of 2024010121 is about 1264.9428171228.

Adding to 2024010121 its reverse (1210104202), we get a palindrome (3234114323).

The spelling of 2024010121 in words is "two billion, twenty-four million, ten thousand, one hundred twenty-one".

Divisors: 1 7 49 6427 44989 314923 41306329 289144303 2024010121