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103538721413 is a prime number
BaseRepresentation
bin110000001101101100…
…0111000001010000101
3100220020210101000102202
41200123120320022011
53144021403041123
6115322014044245
710323533416361
oct1403330701205
9326223330382
10103538721413
113aa019aa956
1218096aa9685
1399c09b593a
14502301c2a1
152a5ec44a28
hex181b638285

103538721413 has 2 divisors, whose sum is σ = 103538721414. Its totient is φ = 103538721412.

The previous prime is 103538721383. The next prime is 103538721439. The reversal of 103538721413 is 314127835301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83147452609 + 20391268804 = 288353^2 + 142798^2 .

It is a cyclic number.

It is not a de Polignac number, because 103538721413 - 216 = 103538655877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103538721613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51769360706 + 51769360707.

It is an arithmetic number, because the mean of its divisors is an integer number (51769360707).

Almost surely, 2103538721413 is an apocalyptic number.

It is an amenable number.

103538721413 is a deficient number, since it is larger than the sum of its proper divisors (1).

103538721413 is an equidigital number, since it uses as much as digits as its factorization.

103538721413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 103538721413 in words is "one hundred three billion, five hundred thirty-eight million, seven hundred twenty-one thousand, four hundred thirteen".