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103303111201249 is a prime number
BaseRepresentation
bin10111011111010000100001…
…001111110101000111100001
3111112202200101102210020020211
4113133100201033311013201
5102020004232431414444
61003412443311134121
730521255253121411
oct2737204117650741
9445680342706224
10103303111201249
112aa08670191753
12b704a02b14341
13458459822201b
141b71c7c11c641
15be223e8cec34
hex5df4213f51e1

103303111201249 has 2 divisors, whose sum is σ = 103303111201250. Its totient is φ = 103303111201248.

The previous prime is 103303111201183. The next prime is 103303111201261. The reversal of 103303111201249 is 942102111303301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102790054162849 + 513057038400 = 10138543^2 + 716280^2 .

It is a cyclic number.

It is not a de Polignac number, because 103303111201249 - 241 = 101104087945697 is a prime.

It is a super-2 number, since 2×1033031112012492 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103303111201249.

It is not a weakly prime, because it can be changed into another prime (103303111201289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51651555600624 + 51651555600625.

It is an arithmetic number, because the mean of its divisors is an integer number (51651555600625).

Almost surely, 2103303111201249 is an apocalyptic number.

It is an amenable number.

103303111201249 is a deficient number, since it is larger than the sum of its proper divisors (1).

103303111201249 is an equidigital number, since it uses as much as digits as its factorization.

103303111201249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 103303111201249 in words is "one hundred three trillion, three hundred three billion, one hundred eleven million, two hundred one thousand, two hundred forty-nine".