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10113310321 is a prime number
BaseRepresentation
bin10010110101100110…
…01101111001110001
3222002210222101122221
421122303031321301
5131203001412241
64351311201041
7505421501512
oct113263157161
928083871587
1010113310321
11431a777804
121b62b16181
13c523114ba
146bd21aa09
153e2ce15d1
hex25accde71

10113310321 has 2 divisors, whose sum is σ = 10113310322. Its totient is φ = 10113310320.

The previous prime is 10113310237. The next prime is 10113310409. The reversal of 10113310321 is 12301331101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10093015296 + 20295025 = 100464^2 + 4505^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113310321 - 215 = 10113277553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10113310295 and 10113310304.

It is not a weakly prime, because it can be changed into another prime (10113010321) 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 as a sum of consecutive naturals, namely, 5056655160 + 5056655161.

It is an arithmetic number, because the mean of its divisors is an integer number (5056655161).

Almost surely, 210113310321 is an apocalyptic number.

It is an amenable number.

10113310321 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113310321 is an equidigital number, since it uses as much as digits as its factorization.

10113310321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10113310321 its reverse (12301331101), we get a palindrome (22414641422).

The spelling of 10113310321 in words is "ten billion, one hundred thirteen million, three hundred ten thousand, three hundred twenty-one".