Search a number
-
+
231303133113121 = 1729469174712197
BaseRepresentation
bin110100100101111001110101…
…000101011010101100100001
31010022222100211001011220111101
4310211321311011122230201
5220304132304034104441
62135535105321514401
766502046156506126
oct6445716505325441
91108870731156441
10231303133113121
1167778120644883
1221b3811b342a01
139c0aa3a945544
1441191ba6d274d
151bb1ad2d78231
hexd25e7515ab21

231303133113121 has 8 divisors (see below), whose sum is σ = 253354344586920. Its totient is φ = 210190271063808.

The previous prime is 231303133113109. The next prime is 231303133113133. The reversal of 231303133113121 is 121311331303132.

It is a happy number.

231303133113121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231303133113109) and next prime (231303133113133).

It can be written as a sum of positive squares in 4 ways, for example, as 89390973902400 + 141912159210721 = 9454680^2 + 11912689^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 231303133113121 - 213 = 231303133104929 is a prime.

It is a super-2 number, since 2×2313031331131212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 231303133113121.

It is not an unprimeable number, because it can be changed into a prime (231303133513121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234587355606 + ... + 234587356591.

It is an arithmetic number, because the mean of its divisors is an integer number (31669293073365).

Almost surely, 2231303133113121 is an apocalyptic number.

It is an amenable number.

231303133113121 is a deficient number, since it is larger than the sum of its proper divisors (22051211473799).

231303133113121 is a wasteful number, since it uses less digits than its factorization.

231303133113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469174712243.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 231303133113121 its reverse (121311331303132), we get a palindrome (352614464416253).

The spelling of 231303133113121 in words is "two hundred thirty-one trillion, three hundred three billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 17 29 493 469174712197 7975970107349 13606066653713 231303133113121