Search a number
-
+
13320212024 = 2372954115161
BaseRepresentation
bin11000110011111001…
…00100111000111000
31021101022022212210002
430121330210320320
5204234433241044
610041430212132
7651041635250
oct143174447070
937338285702
1013320212024
115715a04499
1226b8ab4048
131343828582
149050c0960
1552e60474e
hex319f24e38

13320212024 has 64 divisors (see below), whose sum is σ = 29584094400. Its totient is φ = 5501260800.

The previous prime is 13320211999. The next prime is 13320212027. The reversal of 13320212024 is 42021202331.

13320212024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13320211987 and 13320212005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320212027) 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 15 ways as a sum of consecutive naturals, for example, 871004 + ... + 886164.

It is an arithmetic number, because the mean of its divisors is an integer number (462251475).

Almost surely, 213320212024 is an apocalyptic number.

13320212024 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 13320212024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14792047200).

13320212024 is an abundant number, since it is smaller than the sum of its proper divisors (16263882376).

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

13320212024 is a wasteful number, since it uses less digits than its factorization.

13320212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15744 (or 15740 counting only the distinct ones).

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

Adding to 13320212024 its reverse (42021202331), we get a palindrome (55341414355).

The spelling of 13320212024 in words is "thirteen billion, three hundred twenty million, two hundred twelve thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 406 541 812 1082 1624 2164 3787 4328 7574 15148 15161 15689 30296 30322 31378 60644 62756 106127 109823 121288 125512 212254 219646 424508 439292 439669 849016 878584 879338 1758676 3077683 3517352 6155366 8202101 12310732 16404202 24621464 32808404 57414707 65616808 114829414 229658828 237860929 459317656 475721858 951443716 1665026503 1902887432 3330053006 6660106012 13320212024