Search a number
-
+
331201030131 = 32834019971109
BaseRepresentation
bin1001101000111010001…
…11101010011111110011
31011122212222011120201200
410310131013222133303
520411244430431011
6412052431302243
732633320206636
oct4643507523763
91148788146650
10331201030131
11118509390014
125423267a983
1325302c8900a
141205cca7c1d
158936978856
hex4d1d1ea7f3

331201030131 has 48 divisors (see below), whose sum is σ = 486297695520. Its totient is φ = 217182182400.

The previous prime is 331201030051. The next prime is 331201030151. The reversal of 331201030131 is 131030102133.

It is a happy number.

331201030131 is a `hidden beast` number, since 331 + 2 + 0 + 1 + 0 + 301 + 31 = 666.

It is not a de Polignac number, because 331201030131 - 218 = 331200767987 is a prime.

It is a super-2 number, since 2×3312010301312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331201030151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298647805 + ... + 298648913.

It is an arithmetic number, because the mean of its divisors is an integer number (10131201990).

Almost surely, 2331201030131 is an apocalyptic number.

331201030131 is a deficient number, since it is larger than the sum of its proper divisors (155096665389).

331201030131 is a wasteful number, since it uses less digits than its factorization.

331201030131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331201030131 its reverse (131030102133), we get a palindrome (462231132264).

The spelling of 331201030131 in words is "three hundred thirty-one billion, two hundred one million, thirty thousand, one hundred thirty-one".

Divisors: 1 3 9 83 249 401 747 997 1109 1203 2991 3327 3609 8973 9981 33283 82751 92047 99849 248253 276141 299547 399797 444709 744759 828423 1105673 1199391 1334127 3317019 3598173 4002381 9951057 33183151 36910847 91770859 99549453 110732541 275312577 298648359 332197623 443374873 825937731 1330124619 3990373857 36800114459 110400343377 331201030131