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2400132121 is a prime number
BaseRepresentation
bin1000111100001111…
…0001110000011001
320012021021100022021
42033003301300121
514403413211441
61034055054441
7113322533512
oct21703616031
96167240267
102400132121
1110218a2872
1256b971421
132c3333b2a
1418aa95a09
15e0aa03d1
hex8f0f1c19

2400132121 has 2 divisors, whose sum is σ = 2400132122. Its totient is φ = 2400132120.

The previous prime is 2400132109. The next prime is 2400132151. The reversal of 2400132121 is 1212310042.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2021401600 + 378730521 = 44960^2 + 19461^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2400132121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2400132095 and 2400132104.

It is not a weakly prime, because it can be changed into another prime (2400132151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1200066060 + 1200066061.

It is an arithmetic number, because the mean of its divisors is an integer number (1200066061).

Almost surely, 22400132121 is an apocalyptic number.

It is an amenable number.

2400132121 is a deficient number, since it is larger than the sum of its proper divisors (1).

2400132121 is an equidigital number, since it uses as much as digits as its factorization.

2400132121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2400132121 is about 48991.1432914154. The cubic root of 2400132121 is about 1338.8904680887.

Adding to 2400132121 its reverse (1212310042), we get a palindrome (3612442163).

The spelling of 2400132121 in words is "two billion, four hundred million, one hundred thirty-two thousand, one hundred twenty-one".