Search a number
-
+
2230122101211 = 32378982790989
BaseRepresentation
bin100000011100111101101…
…000101011100111011011
321220012100001011211012200
4200130331220223213123
5243014242224214321
64424300504141243
7320056335043104
oct40347550534733
97805301154180
102230122101211
1178a875872504
12300267467823
131323b8329a74
1479d1d2c13ab
153d025b48d26
hex2073da2b9db

2230122101211 has 48 divisors (see below), whose sum is σ = 3349603951200. Its totient is φ = 1428566920704.

The previous prime is 2230122101191. The next prime is 2230122101269. The reversal of 2230122101211 is 1121012210322.

2230122101211 is a `hidden beast` number, since 2 + 230 + 1 + 221 + 0 + 1 + 211 = 666.

It is not a de Polignac number, because 2230122101211 - 27 = 2230122101083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2230122108211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24464305 + ... + 24555293.

It is an arithmetic number, because the mean of its divisors is an integer number (69783415650).

Almost surely, 22230122101211 is an apocalyptic number.

2230122101211 is a deficient number, since it is larger than the sum of its proper divisors (1119481849989).

2230122101211 is a wasteful number, since it uses less digits than its factorization.

2230122101211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91948 (or 91945 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2230122101211 its reverse (1121012210322), we get a palindrome (3351134311533).

The spelling of 2230122101211 in words is "two trillion, two hundred thirty billion, one hundred twenty-two million, one hundred one thousand, two hundred eleven".

Divisors: 1 3 9 37 89 111 267 333 801 827 2481 3293 7443 9879 29637 30599 73603 90989 91797 220809 272967 275391 662427 818901 2723311 3366593 8098021 8169933 10099779 24294063 24509799 30299337 72882189 75247903 225743709 299626777 677231127 898880331 2696640993 2784172411 6697063367 8352517233 20091190101 25057551699 60273570303 247791344579 743374033737 2230122101211