Search a number
-
+
220110122110122 = 232102461119346289
BaseRepresentation
bin110010000011000001100001…
…101000111100110010101010
31001212100022200212021101012100
4302003001201220330302222
5212322241012230010442
62100045105534354230
764235301006000156
oct6203014150746252
91055308625241170
10220110122110122
11641521a6743652
122082a99665b976
1395a83ac15500a
143c4d55b370066
151a6a881add84c
hexc83061a3ccaa

220110122110122 has 24 divisors (see below), whose sum is σ = 476909923073220. Its totient is φ = 73369324010880.

The previous prime is 220110122110079. The next prime is 220110122110147. The reversal of 220110122110122 is 221011221011022.

220110122110122 is a `hidden beast` number, since 220 + 1 + 101 + 221 + 1 + 0 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175409919666081 + 44700202444041 = 13244241^2 + 6685821^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220110122110095 and 220110122110104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57828847 + ... + 61517442.

Almost surely, 2220110122110122 is an apocalyptic number.

220110122110122 is an abundant number, since it is smaller than the sum of its proper divisors (256799800963098).

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

220110122110122 is a wasteful number, since it uses less digits than its factorization.

220110122110122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119448758 (or 119448755 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 220110122110122 its reverse (221011221011022), we get a palindrome (441121343121144).

The spelling of 220110122110122 in words is "two hundred twenty trillion, one hundred ten billion, one hundred twenty-two million, one hundred ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 102461 204922 307383 614766 922149 1844298 119346289 238692578 358038867 716077734 1074116601 2148233202 12228340117229 24456680234458 36685020351687 73370040703374 110055061055061 220110122110122