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201103331201120 = 2554373400412813
BaseRepresentation
bin101101101110011100000100…
…100111101001000001100000
3222101001021211220221101011102
4231232130010213221001200
5202324334110241413440
61551413332302133532
760234144006634625
oct5556340447510140
9871037756841142
10201103331201120
115909449778a017
121a67b20a8812a8
138829c6925207a
14379364b6aa34c
15183b25c207b15
hexb6e7049e9060

201103331201120 has 96 divisors (see below), whose sum is σ = 492815278261152. Its totient is φ = 77494293983232.

The previous prime is 201103331201117. The next prime is 201103331201131. The reversal of 201103331201120 is 21102133301102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201103331201092 and 201103331201101.

It is a congruent number.

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, 199704167 + ... + 200708646.

It is an arithmetic number, because the mean of its divisors is an integer number (5133492481887).

Almost surely, 2201103331201120 is an apocalyptic number.

201103331201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201103331201120 is an abundant number, since it is smaller than the sum of its proper divisors (291711947060032).

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

201103331201120 is a wasteful number, since it uses less digits than its factorization.

201103331201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400412944 (or 400412936 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 201103331201120 its reverse (21102133301102), we get a palindrome (222205464502222).

The spelling of 201103331201120 in words is "two hundred one trillion, one hundred three billion, three hundred thirty-one million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 73 80 86 146 160 172 215 292 344 365 430 584 688 730 860 1168 1376 1460 1720 2336 2920 3139 3440 5840 6278 6880 11680 12556 15695 25112 31390 50224 62780 100448 125560 251120 502240 400412813 800825626 1601651252 2002064065 3203302504 4004128130 6406605008 8008256260 12813210016 16016512520 17217750959 29230135349 32033025040 34435501918 58460270698 64066050080 68871003836 86088754795 116920541396 137742007672 146150676745 172177509590 233841082792 275484015344 292301353490 344355019180 467682165584 550968030688 584602706980 688710038360 935364331168 1169205413960 1256895820007 1377420076720 2338410827920 2513791640014 2754840153440 4676821655840 5027583280028 6284479100035 10055166560056 12568958200070 20110333120112 25137916400140 40220666240224 50275832800280 100551665600560 201103331201120