Search a number
-
+
220111202111022 = 232371791118452197
BaseRepresentation
bin110010000011000010100010…
…000000110100111000101110
31001212100102111010111002220200
4302003002202000310320232
5212322300220220023042
62100045405034454330
764235336531566635
oct6203024200647056
91055312433432820
10220111202111022
1164152700339282
122082b0382943a6
1395a8521b22ac1
143c4d62098451c
151a6a8e6823c4c
hexc830a2034e2e

220111202111022 has 48 divisors (see below), whose sum is σ = 489824371993632. Its totient is φ = 71383427357760.

The previous prime is 220111202111011. The next prime is 220111202111093.

220111202111022 is a `hidden beast` number, since 220 + 11 + 120 + 211 + 102 + 2 = 666.

220111202111022 is nontrivially palindromic in base 10.

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 = 220111202110986 and 220111202111004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2702628 + ... + 21154824.

It is an arithmetic number, because the mean of its divisors is an integer number (10204674416534).

Almost surely, 2220111202111022 is an apocalyptic number.

220111202111022 is an abundant number, since it is smaller than the sum of its proper divisors (269713169882610).

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

220111202111022 is a wasteful number, since it uses less digits than its factorization.

220111202111022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18470153 (or 18470150 counting only the distinct ones).

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

It can be divided in two parts, 22011120 and 2111022, that added together give a palindrome (24122142).

The spelling of 220111202111022 in words is "two hundred twenty trillion, one hundred eleven billion, two hundred two million, one hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 17911 35822 53733 107466 161199 322398 662707 1325414 1988121 3976242 5964363 11928726 18452197 36904394 55356591 110713182 166069773 332139546 682731289 1365462578 2048193867 4096387734 6144581601 12289163202 330497300467 660994600934 991491901401 1982983802802 2974475704203 5948951408406 12228400117279 24456800234558 36685200351837 73370400703674 110055601055511 220111202111022