Search a number
-
+
2097882001 is a prime number
BaseRepresentation
bin111110100001011…
…0010001110010001
312102012112110002101
41331002302032101
513244024211001
6544100520401
7102662463025
oct17502621621
95365473071
102097882001
11987221886
124a66b0101
13275828ac7
1415c898385
15c4299a01
hex7d0b2391

2097882001 has 2 divisors, whose sum is σ = 2097882002. Its totient is φ = 2097882000.

The previous prime is 2097881983. The next prime is 2097882019. The reversal of 2097882001 is 1002887902.

It is a balanced prime because it is at equal distance from previous prime (2097881983) and next prime (2097882019).

It can be written as a sum of positive squares in only one way, i.e., 2047472001 + 50410000 = 45249^2 + 7100^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2097882001 is a prime.

It is a super-2 number, since 2×20978820012 = 8802217780239528002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2097882041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1048941000 + 1048941001.

It is an arithmetic number, because the mean of its divisors is an integer number (1048941001).

Almost surely, 22097882001 is an apocalyptic number.

It is an amenable number.

2097882001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2097882001 is an equidigital number, since it uses as much as digits as its factorization.

2097882001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 2097882001 is about 45802.6418561200. The cubic root of 2097882001 is about 1280.1485018542.

The spelling of 2097882001 in words is "two billion, ninety-seven million, eight hundred eighty-two thousand, one".