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1012411313 is a prime number
BaseRepresentation
bin111100010110000…
…010101110110001
32121120000211020022
4330112002232301
54033134130223
6244243253225
734042232324
oct7426025661
92546024208
101012411313
1147a530671
1224307a215
13131994464
149865c7bb
155dd33ac8
hex3c582bb1

1012411313 has 2 divisors, whose sum is σ = 1012411314. Its totient is φ = 1012411312.

The previous prime is 1012411297. The next prime is 1012411321. The reversal of 1012411313 is 3131142101.

1012411313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 760490929 + 251920384 = 27577^2 + 15872^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012411313 - 24 = 1012411297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012411291 and 1012411300.

It is not a weakly prime, because it can be changed into another prime (1012411363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506205656 + 506205657.

It is an arithmetic number, because the mean of its divisors is an integer number (506205657).

Almost surely, 21012411313 is an apocalyptic number.

It is an amenable number.

1012411313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012411313 is an equidigital number, since it uses as much as digits as its factorization.

1012411313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1012411313 is about 31818.4115411188. The cubic root of 1012411313 is about 1004.1201057486.

Adding to 1012411313 its reverse (3131142101), we get a palindrome (4143553414).

The spelling of 1012411313 in words is "one billion, twelve million, four hundred eleven thousand, three hundred thirteen".