Search a number
-
+
2112220201 = 713229101359
BaseRepresentation
bin111110111100101…
…1110110000101001
312110012111220101211
41331321132300221
513311212021301
6545332113121
7103225401250
oct17571366051
95405456354
102112220201
11994325333
124ab4657a1
132787a9150
1416074b797
15c567d051
hex7de5ec29

2112220201 has 16 divisors (see below), whose sum is σ = 2611033600. Its totient is φ = 1663892928.

The previous prime is 2112220193. The next prime is 2112220211. The reversal of 2112220201 is 1020222112.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2112220201 - 23 = 2112220193 is a prime.

It is a super-2 number, since 2×21122202012 = 8922948355024960802, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2112220211) 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 in 15 ways as a sum of consecutive naturals, for example, 29841 + ... + 71518.

It is an arithmetic number, because the mean of its divisors is an integer number (163189600).

Almost surely, 22112220201 is an apocalyptic number.

It is an amenable number.

2112220201 is a deficient number, since it is larger than the sum of its proper divisors (498813399).

2112220201 is a wasteful number, since it uses less digits than its factorization.

2112220201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101608.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2112220201 is about 45958.8968644810. The cubic root of 2112220201 is about 1283.0583202383.

Adding to 2112220201 its reverse (1020222112), we get a palindrome (3132442313).

The spelling of 2112220201 in words is "two billion, one hundred twelve million, two hundred twenty thousand, two hundred one".

Divisors: 1 7 13 91 229 1603 2977 20839 101359 709513 1317667 9223669 23211211 162478477 301745743 2112220201