Search a number
-
+
213130432031125 = 5371729009493919
BaseRepresentation
bin110000011101011101001011…
…101100010010100110010101
31000221122001220021000021202111
4300131131023230102212111
5210413412111044444000
62033142434021111021
762615110535133430
oct6035351354224625
91027561807007674
10213130432031125
1161a01121645594
121baa2132558471
1391c0162496a2b
143a8b7d4656817
151999029478cba
hexc1d74bb12995

213130432031125 has 64 divisors (see below), whose sum is σ = 321878101708800. Its totient is φ = 137544704102400.

The previous prime is 213130432031117. The next prime is 213130432031173. The reversal of 213130432031125 is 521130234031312.

213130432031125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213130432031125 - 23 = 213130432031117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 431261916 + ... + 431755834.

It is an arithmetic number, because the mean of its divisors is an integer number (5029345339200).

Almost surely, 2213130432031125 is an apocalyptic number.

213130432031125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213130432031125 is a deficient number, since it is larger than the sum of its proper divisors (108747669677675).

213130432031125 is a wasteful number, since it uses less digits than its factorization.

213130432031125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522967 (or 522957 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 213130432031125 its reverse (521130234031312), we get a palindrome (734260666062437).

The spelling of 213130432031125 in words is "two hundred thirteen trillion, one hundred thirty billion, four hundred thirty-two million, thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 7 17 25 35 85 119 125 175 425 595 875 2125 2975 14875 29009 145045 203063 493153 493919 725225 1015315 2465765 2469595 3452071 3457433 3626125 5076575 8396623 12328825 12347975 17260355 17287165 25382875 41983115 58776361 61644125 61739875 86301775 86435825 209915575 293881805 431508875 432179125 1049577875 1469409025 7347045125 14328096271 71640481355 100296673897 243577636607 358202406775 501483369485 1217888183035 1705043456249 1791012033875 2507416847425 6089440915175 8525217281245 12537084237125 30447204575875 42626086406225 213130432031125