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2112200001 = 323496131097
BaseRepresentation
bin111110111100101…
…1001110101000001
312110012110212200200
41331321121311001
513311210400001
6545331435413
7103225255332
oct17571316501
95405425620
102112200001
1199431113a
124ab455b69
1327879cbb2
14160744289
15c5677086
hex7de59d41

2112200001 has 24 divisors (see below), whose sum is σ = 3067482600. Its totient is φ = 1400530176.

The previous prime is 2112199979. The next prime is 2112200021. The reversal of 2112200001 is 1000022112.

It can be written as a sum of positive squares in 4 ways, for example, as 3186225 + 2109013776 = 1785^2 + 45924^2 .

It is not a de Polignac number, because 2112200001 - 217 = 2112068929 is a prime.

It is a super-2 number, since 2×21122000012 = 8922777688448800002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2112200021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1924885 + ... + 1925981.

It is an arithmetic number, because the mean of its divisors is an integer number (127811775).

Almost surely, 22112200001 is an apocalyptic number.

It is an amenable number.

2112200001 is a deficient number, since it is larger than the sum of its proper divisors (955282599).

2112200001 is a wasteful number, since it uses less digits than its factorization.

2112200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2112200001 is about 45958.6771023710. The cubic root of 2112200001 is about 1283.0542300933.

Adding to 2112200001 its reverse (1000022112), we get a palindrome (3112222113).

The spelling of 2112200001 in words is "two billion, one hundred twelve million, two hundred thousand, one".

Divisors: 1 3 9 349 613 1047 1097 1839 3141 3291 5517 9873 213937 382853 641811 672461 1148559 1925433 2017383 3445677 6052149 234688889 704066667 2112200001