Search a number
-
+
110012022020 = 225137197203809
BaseRepresentation
bin110011001110100111…
…0100011110100000100
3101111221221000202111002
41212131032203310010
53300301034201040
6122312215232432
710643125521035
oct1463516436404
9344857022432
10110012022020
1142723a1146a
12193a2978718
13a4b2b48c24
145478a32a8c
152cdd1bea15
hex199d3a3d04

110012022020 has 48 divisors (see below), whose sum is σ = 233893986480. Its totient is φ = 43461648384.

The previous prime is 110012022007. The next prime is 110012022023. The reversal of 110012022020 is 20220210011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 105185536 + 109906836484 = 10256^2 + 331522^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110012021992 and 110012022010.

It is not an unprimeable number, because it can be changed into a prime (110012022023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437876 + ... + 641684.

It is an arithmetic number, because the mean of its divisors is an integer number (4872791385).

Almost surely, 2110012022020 is an apocalyptic number.

110012022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110012022020 is an abundant number, since it is smaller than the sum of its proper divisors (123881964460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110012022020 is a wasteful number, since it uses less digits than its factorization.

110012022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204152 (or 204150 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 110012022020 its reverse (20220210011), we get a palindrome (130232232031).

The spelling of 110012022020 in words is "one hundred ten billion, twelve million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 137 197 274 394 548 685 788 985 1370 1970 2740 3940 26989 53978 107956 134945 203809 269890 407618 539780 815236 1019045 2038090 4076180 27921833 40150373 55843666 80300746 111687332 139609165 160601492 200751865 279218330 401503730 558436660 803007460 5500601101 11001202202 22002404404 27503005505 55006011010 110012022020