Search a number
-
+
1312031323233 = 32172184707297
BaseRepresentation
bin10011000101111011001…
…010010011010001100001
311122102120201101222222100
4103011323022103101201
5132444020004320413
62442423332401013
7163535234144451
oct23057312232141
94572521358870
101312031323233
1146647a528434
12192344776169
13969548a8307
14477073dbd61
15241e02d1a73
hex1317b293461

1312031323233 has 12 divisors (see below), whose sum is σ = 1896257573028. Its totient is φ = 874179294720.

The previous prime is 1312031323199. The next prime is 1312031323247. The reversal of 1312031323233 is 3323231302131.

1312031323233 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 313 + 2 + 323 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 757338543504 + 554692779729 = 870252^2 + 744777^2 .

It is not a de Polignac number, because 1312031323233 - 214 = 1312031306849 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1312031323197 and 1312031323206.

It is not an unprimeable number, because it can be changed into a prime (1312031323283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42338160 + ... + 42369137.

It is an arithmetic number, because the mean of its divisors is an integer number (158021464419).

Almost surely, 21312031323233 is an apocalyptic number.

It is an amenable number.

1312031323233 is a deficient number, since it is larger than the sum of its proper divisors (584226249795).

1312031323233 is a wasteful number, since it uses less digits than its factorization.

1312031323233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84709024 (or 84709021 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1312031323233 its reverse (3323231302131), we get a palindrome (4635262625364).

It can be divided in two parts, 131203 and 1323233, that added together give a square (1454436 = 12062).

The spelling of 1312031323233 in words is "one trillion, three hundred twelve billion, thirty-one million, three hundred twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 1721 5163 15489 84707297 254121891 762365673 145781258137 437343774411 1312031323233