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2114380481 is a prime number
BaseRepresentation
bin111111000000110…
…1110001011000001
312110100120122202012
41332001232023001
513312240133411
6545450302305
7103252636403
oct17601561301
95410518665
102114380481
11995570394
124b0127995
13279084515
14160b50b73
15c595818b
hex7e06e2c1

2114380481 has 2 divisors, whose sum is σ = 2114380482. Its totient is φ = 2114380480.

The previous prime is 2114380441. The next prime is 2114380511. The reversal of 2114380481 is 1840834112.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1519752256 + 594628225 = 38984^2 + 24385^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114380481 - 214 = 2114364097 is a prime.

It is a super-3 number, since 3×21143804813 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (2114380441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057190240 + 1057190241.

It is an arithmetic number, because the mean of its divisors is an integer number (1057190241).

Almost surely, 22114380481 is an apocalyptic number.

It is an amenable number.

2114380481 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114380481 is an equidigital number, since it uses as much as digits as its factorization.

2114380481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 2114380481 is about 45982.3931630358. The cubic root of 2114380481 is about 1283.4955885401.

The spelling of 2114380481 in words is "two billion, one hundred fourteen million, three hundred eighty thousand, four hundred eighty-one".