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1310003413 is a prime number
BaseRepresentation
bin100111000010101…
…0001000011010101
310101022000001211221
41032011101003111
510140330102123
6333553530341
744314562635
oct11605210325
93338001757
101310003413
1161250aa54
123068739b1
1317b52b264
14c5da66c5
157a01925d
hex4e1510d5

1310003413 has 2 divisors, whose sum is σ = 1310003414. Its totient is φ = 1310003412.

The previous prime is 1310003377. The next prime is 1310003437. The reversal of 1310003413 is 3143000131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 934341489 + 375661924 = 30567^2 + 19382^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1310003413 is a prime.

It is a super-2 number, since 2×13100034132 = 3432217884143297138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1310003473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655001706 + 655001707.

It is an arithmetic number, because the mean of its divisors is an integer number (655001707).

Almost surely, 21310003413 is an apocalyptic number.

It is an amenable number.

1310003413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310003413 is an equidigital number, since it uses as much as digits as its factorization.

1310003413 is an odious number, because the sum of its binary digits is odd.

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

The square root of 1310003413 is about 36193.9692904771. The cubic root of 1310003413 is about 1094.1851316046.

Adding to 1310003413 its reverse (3143000131), we get a palindrome (4453003544).

The spelling of 1310003413 in words is "one billion, three hundred ten million, three thousand, four hundred thirteen".