Search a number
-
+
3121031129 is a prime number
BaseRepresentation
bin1011101000000111…
…0010011111011001
322001111202210211112
42322001302133121
522342440444004
61233410310105
7140225220056
oct27201623731
98044683745
103121031129
111361816977
12731288335
133a97ac8a8
1421871002d
15133eeee6e
hexba0727d9

3121031129 has 2 divisors, whose sum is σ = 3121031130. Its totient is φ = 3121031128.

The previous prime is 3121031057. The next prime is 3121031149. The reversal of 3121031129 is 9211301213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1880089600 + 1240941529 = 43360^2 + 35227^2 .

It is a cyclic number.

It is not a de Polignac number, because 3121031129 - 220 = 3119982553 is a prime.

It is not a weakly prime, because it can be changed into another prime (3121031149) 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 as a sum of consecutive naturals, namely, 1560515564 + 1560515565.

It is an arithmetic number, because the mean of its divisors is an integer number (1560515565).

Almost surely, 23121031129 is an apocalyptic number.

It is an amenable number.

3121031129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121031129 is an equidigital number, since it uses as much as digits as its factorization.

3121031129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 3121031129 is about 55866.1894977633. The cubic root of 3121031129 is about 1461.3896709396.

The spelling of 3121031129 in words is "three billion, one hundred twenty-one million, thirty-one thousand, one hundred twenty-nine".