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2164788113 is a prime number
BaseRepresentation
bin1000000100001000…
…0000101110010001
312120212102122000112
42001002000232101
513413141204423
6554450531105
7104434252415
oct20102005621
95525378015
102164788113
11a10a6a394
12504b96a95
13286653317
14167712d45
15ca0b3a78
hex81080b91

2164788113 has 2 divisors, whose sum is σ = 2164788114. Its totient is φ = 2164788112.

The previous prime is 2164788107. The next prime is 2164788163. The reversal of 2164788113 is 3118874612.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1367742289 + 797045824 = 36983^2 + 28232^2 .

It is a cyclic number.

It is not a de Polignac number, because 2164788113 - 224 = 2148010897 is a prime.

It is a super-2 number, since 2×21647881132 = 9372615148372201538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2164788163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1082394056 + 1082394057.

It is an arithmetic number, because the mean of its divisors is an integer number (1082394057).

Almost surely, 22164788113 is an apocalyptic number.

It is an amenable number.

2164788113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2164788113 is an equidigital number, since it uses as much as digits as its factorization.

2164788113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64512, while the sum is 41.

The square root of 2164788113 is about 46527.2835334280. The cubic root of 2164788113 is about 1293.6152643711.

The spelling of 2164788113 in words is "two billion, one hundred sixty-four million, seven hundred eighty-eight thousand, one hundred thirteen".