Search a number
-
+
220201122201102 = 23273719469918783
BaseRepresentation
bin110010000100010110010001…
…101010101111111000001110
31001212200000120210222222020100
4302010112101222233320032
5212330233344240413402
62100154555442231530
764245002041003650
oct6204262152577016
91055600523888210
10220201122201102
116418785393a909
12208445523555a6
1395b3b522169b3
143c53b110006d0
151a6ce0ab6871c
hexc84591aafe0e

220201122201102 has 48 divisors (see below), whose sum is σ = 545406537461760. Its totient is φ = 62897689133136.

The previous prime is 220201122200989. The next prime is 220201122201119. The reversal of 220201122201102 is 201102221102022.

It is a happy number.

220201122201102 is a `hidden beast` number, since 220 + 2 + 0 + 112 + 220 + 110 + 2 = 666.

It is a super-2 number, since 2×2202011222011022 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234490798 + ... + 235427985.

It is an arithmetic number, because the mean of its divisors is an integer number (11362636197120).

Almost surely, 2220201122201102 is an apocalyptic number.

220201122201102 is an abundant number, since it is smaller than the sum of its proper divisors (325205415260658).

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

220201122201102 is a wasteful number, since it uses less digits than its factorization.

220201122201102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469922517 (or 469922514 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 220201122201102 its reverse (201102221102022), we get a palindrome (421303343303124).

The spelling of 220201122201102 in words is "two hundred twenty trillion, two hundred one billion, one hundred twenty-two million, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3719 7438 11157 22314 26033 33471 52066 66942 78099 156198 234297 468594 469918783 939837566 1409756349 2819512698 3289431481 4229269047 6578862962 8458538094 9868294443 19736588886 29604883329 59209766658 1747627953977 3495255907954 5242883861931 10485767723862 12233395677839 15728651585793 24466791355678 31457303171586 36700187033517 73400374067034 110100561100551 220201122201102