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2124312131 = 23418812557
BaseRepresentation
bin111111010011110…
…0110111001000011
312111001021020102002
41332213212321003
513322310442011
6550443214215
7103433232554
oct17647467103
95431236362
102124312131
119a0134167
124b351736b
1327b150c36
141621b832b
15c676ac3b
hex7e9e6e43

2124312131 has 16 divisors (see below), whose sum is σ = 2274205248. Its totient is φ = 1979366400.

The previous prime is 2124312083. The next prime is 2124312149. The reversal of 2124312131 is 1312134212.

It is a cyclic number.

It is not a de Polignac number, because 2124312131 - 222 = 2120117827 is a prime.

It is a super-2 number, since 2×21243121312 = 9025404059827522322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2124312161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829505 + ... + 832061.

It is an arithmetic number, because the mean of its divisors is an integer number (142137828).

Almost surely, 22124312131 is an apocalyptic number.

2124312131 is a deficient number, since it is larger than the sum of its proper divisors (149893117).

2124312131 is a wasteful number, since it uses less digits than its factorization.

2124312131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502.

The product of its digits is 288, while the sum is 20.

The square root of 2124312131 is about 46090.2606957262. The cubic root of 2124312131 is about 1285.5020584055.

Adding to 2124312131 its reverse (1312134212), we get a palindrome (3436446343).

The spelling of 2124312131 in words is "two billion, one hundred twenty-four million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 23 41 881 943 2557 20263 36121 58811 104837 830783 2252717 2411251 51812491 92361397 2124312131