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2142826801 is a prime number
BaseRepresentation
bin111111110111000…
…1111000100110001
312112100002212202121
41333232033010301
513342030424201
6552344114241
7104046504313
oct17756170461
95470085677
102142826801
119aa62a545
124b9765981
13281c3426b
141648377b3
15c81c69a1
hex7fb8f131

2142826801 has 2 divisors, whose sum is σ = 2142826802. Its totient is φ = 2142826800.

The previous prime is 2142826799. The next prime is 2142826811. The reversal of 2142826801 is 1086282412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2134532401 + 8294400 = 46201^2 + 2880^2 .

It is a cyclic number.

It is not a de Polignac number, because 2142826801 - 21 = 2142826799 is a prime.

Together with 2142826799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2142826811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1071413400 + 1071413401.

It is an arithmetic number, because the mean of its divisors is an integer number (1071413401).

Almost surely, 22142826801 is an apocalyptic number.

It is an amenable number.

2142826801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2142826801 is an equidigital number, since it uses as much as digits as its factorization.

2142826801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 2142826801 is about 46290.6772579534. The cubic root of 2142826801 is about 1289.2259043861.

The spelling of 2142826801 in words is "two billion, one hundred forty-two million, eight hundred twenty-six thousand, eight hundred one".