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2120400319 is a prime number
BaseRepresentation
bin111111001100010…
…1011110110111111
312110202220111102011
41332120223312333
513320310302234
6550223312051
7103355051062
oct17630536677
95422814364
102120400319
11998a02164
124b214b627
1327a3b155b
1416187a8d9
15c6246b64
hex7e62bdbf

2120400319 has 2 divisors, whose sum is σ = 2120400320. Its totient is φ = 2120400318.

The previous prime is 2120400313. The next prime is 2120400343. The reversal of 2120400319 is 9130040212.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2120400319 - 29 = 2120399807 is a prime.

It is a super-2 number, since 2×21204003192 = 8992195025630603522, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2120400319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120400313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060200159 + 1060200160.

It is an arithmetic number, because the mean of its divisors is an integer number (1060200160).

Almost surely, 22120400319 is an apocalyptic number.

2120400319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120400319 is an equidigital number, since it uses as much as digits as its factorization.

2120400319 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2120400319 is about 46047.8047142315. The cubic root of 2120400319 is about 1284.7125115009.

The spelling of 2120400319 in words is "two billion, one hundred twenty million, four hundred thousand, three hundred nineteen".