Search a number
-
+
20435587129 is a prime number
BaseRepresentation
bin10011000010000011…
…100101000000111001
31221202012011101110101
4103002003211000321
5313323002242004
613215445315401
71322261424136
oct230203450071
957665141411
1020435587129
1187373a1091
123b63a05b61
131c089c92b9
14dbc0b158d
157e910dba4
hex4c20e5039

20435587129 has 2 divisors, whose sum is σ = 20435587130. Its totient is φ = 20435587128.

The previous prime is 20435587091. The next prime is 20435587153. The reversal of 20435587129 is 92178553402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12270657529 + 8164929600 = 110773^2 + 90360^2 .

It is a cyclic number.

It is not a de Polignac number, because 20435587129 - 29 = 20435586617 is a prime.

It is a super-2 number, since 2×204355871292 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20435584129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10217793564 + 10217793565.

It is an arithmetic number, because the mean of its divisors is an integer number (10217793565).

Almost surely, 220435587129 is an apocalyptic number.

It is an amenable number.

20435587129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20435587129 is an equidigital number, since it uses as much as digits as its factorization.

20435587129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 20435587129 in words is "twenty billion, four hundred thirty-five million, five hundred eighty-seven thousand, one hundred twenty-nine".