Search a number
-
+
1010320002133 = 13457170058913
BaseRepresentation
bin11101011001110111100…
…00111100110001010101
310120120210221022212000021
432230323300330301111
5113023113410032013
62052045023545141
7132664446215551
oct16547360746125
93516727285007
101010320002133
1135a524336282
1214398215b1b1
1374371368190
1436c84ca8861
151b432784a8d
hexeb3bc3cc55

1010320002133 has 8 divisors (see below), whose sum is σ = 1090417756568. Its totient is φ = 930562366464.

The previous prime is 1010320002073. The next prime is 1010320002143. The reversal of 1010320002133 is 3312000230101.

It can be written as a sum of positive squares in 4 ways, for example, as 21951978244 + 988368023889 = 148162^2 + 994167^2 .

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 1010320002133 - 229 = 1009783131221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010320002143) 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 7 ways as a sum of consecutive naturals, for example, 85023516 + ... + 85035397.

It is an arithmetic number, because the mean of its divisors is an integer number (136302219571).

Almost surely, 21010320002133 is an apocalyptic number.

1010320002133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1010320002133 is a deficient number, since it is larger than the sum of its proper divisors (80097754435).

1010320002133 is a wasteful number, since it uses less digits than its factorization.

1010320002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170059383.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1010320002133 its reverse (3312000230101), we get a palindrome (4322320232234).

The spelling of 1010320002133 in words is "one trillion, ten billion, three hundred twenty million, two thousand, one hundred thirty-three".

Divisors: 1 13 457 5941 170058913 2210765869 77716923241 1010320002133