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201211101120 = 26351012075197
BaseRepresentation
bin1011101101100100011…
…1011011111111000000
3201020100202011222220110
42323121013123333000
511244040020213440
6232233552111320
720352125066031
oct2733107337700
9636322158813
10201211101120
117837346a417
1232bb5235540
1315c881cc463
149a4aca0a88
155379954080
hex2ed91dbfc0

201211101120 has 112 divisors (see below), whose sum is σ = 645170757408. Its totient is φ = 53125017600.

The previous prime is 201211101109. The next prime is 201211101127. The reversal of 201211101120 is 21101112102.

It is a super-3 number, since 3×2012111011203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201211101096 and 201211101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211101127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 940639 + ... + 1134558.

Almost surely, 2201211101120 is an apocalyptic number.

201211101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211101120 is an abundant number, since it is smaller than the sum of its proper divisors (443959656288).

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

201211101120 is a wasteful number, since it uses less digits than its factorization.

201211101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075318 (or 2075308 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201211101120 its reverse (21101112102), we get a palindrome (222312213222).

The spelling of 201211101120 in words is "two hundred one billion, two hundred eleven million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 101 120 160 192 202 240 303 320 404 480 505 606 808 960 1010 1212 1515 1616 2020 2424 3030 3232 4040 4848 6060 6464 8080 9696 12120 16160 19392 24240 32320 48480 96960 2075197 4150394 6225591 8300788 10375985 12451182 16601576 20751970 24902364 31127955 33203152 41503940 49804728 62255910 66406304 83007880 99609456 124511820 132812608 166015760 199218912 209594897 249023640 332031520 398437824 419189794 498047280 628784691 664063040 838379588 996094560 1047974485 1257569382 1676759176 1992189120 2095948970 2515138764 3143923455 3353518352 4191897940 5030277528 6287846910 6707036704 8383795880 10060555056 12575693820 13414073408 16767591760 20121110112 25151387640 33535183520 40242220224 50302775280 67070367040 100605550560 201211101120