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11330042024 = 2373710353089
BaseRepresentation
bin10101000110101001…
…01011100010101000
31002020121110202210002
422203110223202220
5141200442321044
65112134042132
7550524524330
oct124324534250
932217422702
1011330042024
1148945712a4
1222424a9348
1310b74135a2
14796a640c0
15464a3474e
hex2a352b8a8

11330042024 has 64 divisors (see below), whose sum is σ = 25177401600. Its totient is φ = 4678539264.

The previous prime is 11330042023. The next prime is 11330042039. The reversal of 11330042024 is 42024003311.

It is a super-3 number, since 3×113300420243 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11330041987 and 11330042005.

It is not an unprimeable number, because it can be changed into a prime (11330042023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186872 + ... + 239960.

It is an arithmetic number, because the mean of its divisors is an integer number (393396900).

Almost surely, 211330042024 is an apocalyptic number.

11330042024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11330042024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12588700800).

11330042024 is an abundant number, since it is smaller than the sum of its proper divisors (13847359576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11330042024 is a wasteful number, since it uses less digits than its factorization.

11330042024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53242 (or 53238 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 11330042024 its reverse (42024003311), we get a palindrome (53354045335).

The spelling of 11330042024 in words is "eleven billion, three hundred thirty million, forty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 37 56 74 103 148 206 259 296 412 518 721 824 1036 1442 2072 2884 3811 5768 7622 15244 26677 30488 53089 53354 106178 106708 212356 213416 371623 424712 743246 1486492 1964293 2972984 3928586 5468167 7857172 10936334 13750051 15714344 21872668 27500102 38277169 43745336 55000204 76554338 110000408 153108676 202322179 306217352 404644358 809288716 1416255253 1618577432 2832510506 5665021012 11330042024