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100201303313 is a prime number
BaseRepresentation
bin101110101010001110…
…1101000110100010001
3100120122012102121110222
41131110131220310101
53120203013201223
6114010513402425
710145040011426
oct1352435506421
9316565377428
10100201303313
113954a029281
1217505269415
1395ab432027
144bc7aa1d4d
152916c500c8
hex1754768d11

100201303313 has 2 divisors, whose sum is σ = 100201303314. Its totient is φ = 100201303312.

The previous prime is 100201303273. The next prime is 100201303343. The reversal of 100201303313 is 313303102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99917313409 + 283989904 = 316097^2 + 16852^2 .

It is a cyclic number.

It is not a de Polignac number, because 100201303313 - 26 = 100201303249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100201303291 and 100201303300.

It is not a weakly prime, because it can be changed into another prime (100201303343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100651656 + 50100651657.

It is an arithmetic number, because the mean of its divisors is an integer number (50100651657).

Almost surely, 2100201303313 is an apocalyptic number.

It is an amenable number.

100201303313 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201303313 is an equidigital number, since it uses as much as digits as its factorization.

100201303313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 100201303313 its reverse (313303102001), we get a palindrome (413504405314).

The spelling of 100201303313 in words is "one hundred billion, two hundred one million, three hundred three thousand, three hundred thirteen".