Search a number
-
+
2024321330031 = 3711131432747051
BaseRepresentation
bin11101011101010010111…
…101000010101101101111
321011112010102201102121020
4131131102331002231233
5231131302230030111
64145543235305223
7266152366253550
oct35352275025557
97145112642536
102024321330031
11710567687040
122883b114b213
13118b7b2b9110
146dd98a52327
15379cd2e2906
hex1d752f42b6f

2024321330031 has 64 divisors (see below), whose sum is σ = 3624289837056. Its totient is φ = 970615152000.

The previous prime is 2024321330029. The next prime is 2024321330051. The reversal of 2024321330031 is 1300331234202.

It is not a de Polignac number, because 2024321330031 - 21 = 2024321330029 is a prime.

It is a super-2 number, since 2×20243213300312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2024321329983 and 2024321330010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024321330011) 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, 43000456 + ... + 43047506.

It is an arithmetic number, because the mean of its divisors is an integer number (56629528704).

Almost surely, 22024321330031 is an apocalyptic number.

2024321330031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2024321330031 is a deficient number, since it is larger than the sum of its proper divisors (1599968507025).

2024321330031 is a wasteful number, since it uses less digits than its factorization.

2024321330031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61412.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2024321330031 its reverse (1300331234202), we get a palindrome (3324652564233).

The spelling of 2024321330031 in words is "two trillion, twenty-four billion, three hundred twenty-one million, three hundred thirty thousand, thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 14327 42981 47051 100289 141153 157597 186251 300867 329357 472791 517561 558753 611663 988071 1103179 1303757 1552683 1834989 2048761 3309537 3622927 3911271 4281641 6146283 6728293 10868781 12844923 14341327 20184879 43023981 47098051 141294153 674099677 2022299031 4718697739 7415096447 8763295801 14156093217 22245289341 26289887403 51905675129 61343070607 96396253811 155717025387 184029211821 289188761433 674773776677 2024321330031