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2112210001 = 11217456281
BaseRepresentation
bin111110111100101…
…1100010001010001
312110012111101102001
41331321130101101
513311211210001
6545331554001
7103225326436
oct17571342121
95405441361
102112210001
11994318700
124ab45b901
132787a4605
14160747b8d
15c567a001
hex7de5c451

2112210001 has 6 divisors (see below), whose sum is σ = 2321685506. Its totient is φ = 1920190800.

The previous prime is 2112209989. The next prime is 2112210011. The reversal of 2112210001 is 1000122112.

It can be written as a sum of positive squares in only one way, i.e., 1970028225 + 142181776 = 44385^2 + 11924^2 .

It is a de Polignac number, because none of the positive numbers 2k-2112210001 is a prime.

It is a super-2 number, since 2×21122100012 = 8922862176648840002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2112210001.

It is not an unprimeable number, because it can be changed into a prime (2112210011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8728020 + ... + 8728261.

Almost surely, 22112210001 is an apocalyptic number.

It is an amenable number.

2112210001 is a deficient number, since it is larger than the sum of its proper divisors (209475505).

2112210001 is a wasteful number, since it uses less digits than its factorization.

2112210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17456303 (or 17456292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2112210001 is about 45958.7858956261. The cubic root of 2112210001 is about 1283.0562549208.

Adding to 2112210001 its reverse (1000122112), we get a palindrome (3112332113).

The spelling of 2112210001 in words is "two billion, one hundred twelve million, two hundred ten thousand, one".

Divisors: 1 11 121 17456281 192019091 2112210001