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2403401313329 is a prime number
BaseRepresentation
bin100010111110010101111…
…000011010110000110001
322111202121011120211200122
4202332111320122300301
5303334131214011304
65040035103100025
7335432345043332
oct42762570326061
98452534524618
102403401313329
11847305426235
123299662a1615
13145841768243
148447a682289
15427b82dc9be
hex22f95e1ac31

2403401313329 has 2 divisors, whose sum is σ = 2403401313330. Its totient is φ = 2403401313328.

The previous prime is 2403401313317. The next prime is 2403401313403. The reversal of 2403401313329 is 9233131043042.

2403401313329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2393905200625 + 9496112704 = 1547225^2 + 97448^2 .

It is a cyclic number.

It is not a de Polignac number, because 2403401313329 - 28 = 2403401313073 is a prime.

It is not a weakly prime, because it can be changed into another prime (2403401333329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1201700656664 + 1201700656665.

It is an arithmetic number, because the mean of its divisors is an integer number (1201700656665).

Almost surely, 22403401313329 is an apocalyptic number.

It is an amenable number.

2403401313329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2403401313329 is an equidigital number, since it uses as much as digits as its factorization.

2403401313329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 2403401313329 in words is "two trillion, four hundred three billion, four hundred one million, three hundred thirteen thousand, three hundred twenty-nine".