Search a number
-
+
406880820301 is a prime number
BaseRepresentation
bin1011110101110111111…
…11001001110001001101
31102220020020001020222011
411322323333021301031
523131242442222201
6510530220021221
741252612623414
oct5727377116115
91386206036864
10406880820301
1114761468554a
1266a33691811
132c4a4046847
141599bd7847b
15a8b5a20151
hex5ebbfc9c4d

406880820301 has 2 divisors, whose sum is σ = 406880820302. Its totient is φ = 406880820300.

The previous prime is 406880820253. The next prime is 406880820329. The reversal of 406880820301 is 103028088604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 303694677225 + 103186143076 = 551085^2 + 321226^2 .

It is a cyclic number.

It is not a de Polignac number, because 406880820301 - 227 = 406746602573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (406880820341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203440410150 + 203440410151.

It is an arithmetic number, because the mean of its divisors is an integer number (203440410151).

Almost surely, 2406880820301 is an apocalyptic number.

It is an amenable number.

406880820301 is a deficient number, since it is larger than the sum of its proper divisors (1).

406880820301 is an equidigital number, since it uses as much as digits as its factorization.

406880820301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 406880820301 in words is "four hundred six billion, eight hundred eighty million, eight hundred twenty thousand, three hundred one".