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3102400153 is a prime number
BaseRepresentation
bin1011100011101010…
…1101111010011001
322000012201020221101
42320322231322121
522323203301103
61231503111401
7136610652256
oct27072557231
98005636841
103102400153
111352251176
12726ba2561
133a5988648
1421606042d
1513256ea1d
hexb8eade99

3102400153 has 2 divisors, whose sum is σ = 3102400154. Its totient is φ = 3102400152.

The previous prime is 3102400151. The next prime is 3102400219. The reversal of 3102400153 is 3510042013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2087850249 + 1014549904 = 45693^2 + 31852^2 .

It is a cyclic number.

It is not a de Polignac number, because 3102400153 - 21 = 3102400151 is a prime.

Together with 3102400151, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 3102400153.

It is not a weakly prime, because it can be changed into another prime (3102400151) 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 as a sum of consecutive naturals, namely, 1551200076 + 1551200077.

It is an arithmetic number, because the mean of its divisors is an integer number (1551200077).

Almost surely, 23102400153 is an apocalyptic number.

It is an amenable number.

3102400153 is a deficient number, since it is larger than the sum of its proper divisors (1).

3102400153 is an equidigital number, since it uses as much as digits as its factorization.

3102400153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3102400153 is about 55699.1934681284. The cubic root of 3102400153 is about 1458.4759465415.

Adding to 3102400153 its reverse (3510042013), we get a palindrome (6612442166).

The spelling of 3102400153 in words is "three billion, one hundred two million, four hundred thousand, one hundred fifty-three".