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2124443133 = 34194913457
BaseRepresentation
bin111111010100000…
…0110110111111101
312111001111220010000
41332220012313331
513322324140013
6550450104513
7103434316521
oct17650066775
95431456100
102124443133
119a021362a
124b357b139
1327b198757
1416220dd81
15c6794973
hex7ea06dfd

2124443133 has 20 divisors (see below), whose sum is σ = 3175415100. Its totient is φ = 1415463552.

The previous prime is 2124443119. The next prime is 2124443179. The reversal of 2124443133 is 3313444212.

2124443133 is a `hidden beast` number, since 212 + 4 + 443 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2007219204 + 117223929 = 44802^2 + 10827^2 .

It is not a de Polignac number, because 2124443133 - 222 = 2120248829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2124443097 and 2124443106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124441133) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151141 + ... + 164597.

It is an arithmetic number, because the mean of its divisors is an integer number (158770755).

Almost surely, 22124443133 is an apocalyptic number.

It is an amenable number.

2124443133 is a deficient number, since it is larger than the sum of its proper divisors (1050971967).

2124443133 is a wasteful number, since it uses less digits than its factorization.

2124443133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15418 (or 15409 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2124443133 is about 46091.6818200421. The cubic root of 2124443133 is about 1285.5284826264.

Adding to 2124443133 its reverse (3313444212), we get a palindrome (5437887345).

The spelling of 2124443133 in words is "two billion, one hundred twenty-four million, four hundred forty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 27 81 1949 5847 13457 17541 40371 52623 121113 157869 363339 1090017 26227693 78683079 236049237 708147711 2124443133