Search a number
-
+
3385031129 is a prime number
BaseRepresentation
bin1100100111000011…
…0111100111011001
322201220112101202022
43021300313213121
523413031444004
61315520544225
7146612201264
oct31160674731
98656471668
103385031129
111487841a97
127a5782075
1341c3b46cc
142417d1cdb
1514c29c2be
hexc9c379d9

3385031129 has 2 divisors, whose sum is σ = 3385031130. Its totient is φ = 3385031128.

The previous prime is 3385031113. The next prime is 3385031137. The reversal of 3385031129 is 9211305833.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3265893904 + 119137225 = 57148^2 + 10915^2 .

It is a cyclic number.

It is not a de Polignac number, because 3385031129 - 24 = 3385031113 is a prime.

It is a super-2 number, since 2×33850311292 = 22916871488598029282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3385031179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1692515564 + 1692515565.

It is an arithmetic number, because the mean of its divisors is an integer number (1692515565).

Almost surely, 23385031129 is an apocalyptic number.

It is an amenable number.

3385031129 is a deficient number, since it is larger than the sum of its proper divisors (1).

3385031129 is an equidigital number, since it uses as much as digits as its factorization.

3385031129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 3385031129 is about 58181.0203502826. The cubic root of 3385031129 is about 1501.4846232962.

The spelling of 3385031129 in words is "three billion, three hundred eighty-five million, thirty-one thousand, one hundred twenty-nine".