Search a number
-
+
12211120110213 = 323736670030361
BaseRepresentation
bin1011000110110001111101…
…1110011111101010000101
31121020101000221210220202200
42301230133132133222011
53100031333222011323
641545413334425113
72400136640232633
oct261543736375205
947211027726680
1012211120110213
113988785a60432
12145271b502199
136a767179b51b
143030428b8353
1516298c75c443
hexb1b1f79fa85

12211120110213 has 12 divisors (see below), whose sum is σ = 18114994998828. Its totient is φ = 7920726557760.

The previous prime is 12211120110121. The next prime is 12211120110239. The reversal of 12211120110213 is 31201102111221.

It is a happy number.

12211120110213 is a `hidden beast` number, since 1 + 221 + 1 + 120 + 110 + 213 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10835993325249 + 1375126784964 = 3291807^2 + 1172658^2 .

It is not a de Polignac number, because 12211120110213 - 222 = 12211115915909 is a prime.

It is a super-2 number, since 2×122111201102132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211120110283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18335014848 + ... + 18335015513.

It is an arithmetic number, because the mean of its divisors is an integer number (1509582916569).

Almost surely, 212211120110213 is an apocalyptic number.

It is an amenable number.

12211120110213 is a deficient number, since it is larger than the sum of its proper divisors (5903874888615).

12211120110213 is a wasteful number, since it uses less digits than its factorization.

12211120110213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36670030404 (or 36670030401 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 12211120110213 its reverse (31201102111221), we get a palindrome (43412222221434).

The spelling of 12211120110213 in words is "twelve trillion, two hundred eleven billion, one hundred twenty million, one hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 37 111 333 36670030361 110010091083 330030273249 1356791123357 4070373370071 12211120110213