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201120220110020 = 225101918110844621
BaseRepresentation
bin101101101110101011110011…
…010001101101110011000100
3222101002220102221101211201212
4231232223303101231303010
5202330123202322010040
61551425204214110552
760235312354201241
oct5556536321556304
9871086387354655
10201120220110020
11590a0674071272
121a68254294b458
13882b72b21a5a3
1437943b070c5c8
15183b8e9c88d65
hexb6eaf346dcc4

201120220110020 has 48 divisors (see below), whose sum is σ = 426580667469936. Its totient is φ = 79642889280000.

The previous prime is 201120220109983. The next prime is 201120220110041. The reversal of 201120220110020 is 20011022021102.

It can be written as a sum of positive squares in 8 ways, for example, as 12879072196 + 201107341037824 = 113486^2 + 14181232^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201120220109977 and 201120220110004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13123310 + ... + 23967930.

It is an arithmetic number, because the mean of its divisors is an integer number (8887097238957).

Almost surely, 2201120220110020 is an apocalyptic number.

201120220110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120220110020 is an abundant number, since it is smaller than the sum of its proper divisors (225460447359916).

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

201120220110020 is a wasteful number, since it uses less digits than its factorization.

201120220110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10853912 (or 10853910 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 201120220110020 its reverse (20011022021102), we get a palindrome (221131242131122).

The spelling of 201120220110020 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 9181 18362 36724 45905 91810 183620 927281 1854562 3709124 4636405 9272810 10844621 18545620 21689242 43378484 54223105 108446210 216892420 1095306721 2190613442 4381226884 5476533605 10953067210 21906134420 99564465401 199128930802 398257861604 497822327005 995644654010 1991289308020 10056011005501 20112022011002 40224044022004 50280055027505 100560110055010 201120220110020