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211220220101120 = 295251328716727
BaseRepresentation
bin110000000001101010001010…
…001100000100001000000000
31000200212110022022020222121022
4300001222022030010020000
5210141113002321213440
62025121121330045012
762330104646466236
oct6001521214041000
91020773268228538
10211220220101120
1161334aa082472a
121b833a88419768
1390b1c9ab81479
143a23182898956
1519644c8e13cb5
hexc01a8a304200

211220220101120 has 80 divisors (see below), whose sum is σ = 508451145668928. Its totient is φ = 84151481856000.

The previous prime is 211220220101117. The next prime is 211220220101159. The reversal of 211220220101120 is 21101022022112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2112202201011202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163715804 + ... + 165000923.

Almost surely, 2211220220101120 is an apocalyptic number.

211220220101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220220101120 is an abundant number, since it is smaller than the sum of its proper divisors (297230925567808).

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

211220220101120 is an equidigital number, since it uses as much as digits as its factorization.

211220220101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328717001 (or 328716985 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211220220101120 its reverse (21101022022112), we get a palindrome (232321242123232).

The spelling of 211220220101120 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 251 256 320 502 512 640 1004 1255 1280 2008 2510 2560 4016 5020 8032 10040 16064 20080 32128 40160 64256 80320 128512 160640 321280 642560 328716727 657433454 1314866908 1643583635 2629733816 3287167270 5259467632 6574334540 10518935264 13148669080 21037870528 26297338160 42075741056 52594676320 82507898477 84151482112 105189352640 165015796954 168302964224 210378705280 330031593908 412539492385 420757410560 660063187816 825078984770 841514821120 1320126375632 1650157969540 2640252751264 3300315939080 5280505502528 6600631878160 10561011005056 13201263756320 21122022010112 26402527512640 42244044020224 52805055025280 105610110050560 211220220101120