Search a number
-
+
101323313433 = 3278731429969
BaseRepresentation
bin101111001011101010…
…1110001000100011001
3100200112101200122000100
41132113111301010121
53130002232012213
6114314114130013
710214612645106
oct1362725610431
9320471618010
10101323313433
1139a75407071
1217778b80909
139729a1b044
144c92acdaad
1529804d2773
hex1797571119

101323313433 has 12 divisors (see below), whose sum is σ = 146374589140. Its totient is φ = 67540248576.

The previous prime is 101323313393. The next prime is 101323313459. The reversal of 101323313433 is 334313323101.

It can be written as a sum of positive squares in 2 ways, for example, as 5463722889 + 95859590544 = 73917^2 + 309612^2 .

It is not a de Polignac number, because 101323313433 - 26 = 101323313369 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101323313397 and 101323313406.

It is not an unprimeable number, because it can be changed into a prime (101323313033) 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, 644128 + ... + 785841.

Almost surely, 2101323313433 is an apocalyptic number.

It is an amenable number.

101323313433 is a deficient number, since it is larger than the sum of its proper divisors (45051275707).

101323313433 is a wasteful number, since it uses less digits than its factorization.

101323313433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437848 (or 1437845 counting only the distinct ones).

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

Adding to 101323313433 its reverse (334313323101), we get a palindrome (435636636534).

The spelling of 101323313433 in words is "one hundred one billion, three hundred twenty-three million, three hundred thirteen thousand, four hundred thirty-three".

Divisors: 1 3 9 7873 23619 70857 1429969 4289907 12869721 11258145937 33774437811 101323313433