Search a number
-
+
110012122110220 = 2251138354779091
BaseRepresentation
bin11001000000111000110001…
…011101011001100100001100
3112102112001111221102210012021
4121000320301131121210030
5103404414311230011340
61025550512102415524
732113053640664011
oct3100706135314414
9472461457383167
10110012122110220
1132064973a15000
12104091051315a4
13495013881b545
141d24887c67708
15caba03a53e4a
hex640e3175990c

110012122110220 has 192 divisors, whose sum is σ = 257247467592192. Its totient is φ = 39510864518400.

The previous prime is 110012122110181. The next prime is 110012122110257. The reversal of 110012122110220 is 22011221210011.

It is a super-2 number, since 2×1100121221102202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110012122110194 and 110012122110203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12101207875 + ... + 12101216965.

It is an arithmetic number, because the mean of its divisors is an integer number (1339830560376).

Almost surely, 2110012122110220 is an apocalyptic number.

110012122110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110012122110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128623733796096).

110012122110220 is an abundant number, since it is smaller than the sum of its proper divisors (147235345481972).

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

110012122110220 is a wasteful number, since it uses less digits than its factorization.

110012122110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14693 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110012122110220 its reverse (22011221210011), we get a palindrome (132023343320231).

The spelling of 110012122110220 in words is "one hundred ten trillion, twelve billion, one hundred twenty-two million, one hundred ten thousand, two hundred twenty".