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211312000113320 = 23532092001182267
BaseRepresentation
bin110000000010111111101000…
…101101000001101010101000
31000201012020012121112200102102
4300002333220231001222220
5210144113434012111240
62025231220454152532
762336534231641601
oct6002775055015250
91021166177480372
10211312000113320
116136aa09198287
121b849821352748
1390ba8366b5ab2
143a277abd48da8
151966a9b69b815
hexc02fe8b41aa8

211312000113320 has 64 divisors (see below), whose sum is σ = 475629710702400. Its totient is φ = 84493210452480.

The previous prime is 211312000113301. The next prime is 211312000113323. The reversal of 211312000113320 is 23311000213112.

It is a happy number.

It is a super-2 number, since 2×2113120001133202 (a number of 29 digits) contains 22 as substring.

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 = 211312000113292 and 211312000113301.

It is not an unprimeable number, because it can be changed into a prime (211312000113323) 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, 2568570827 + ... + 2568653093.

It is an arithmetic number, because the mean of its divisors is an integer number (7431714229725).

Almost surely, 2211312000113320 is an apocalyptic number.

211312000113320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312000113320 is an abundant number, since it is smaller than the sum of its proper divisors (264317710589080).

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

211312000113320 is a wasteful number, since it uses less digits than its factorization.

211312000113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105498 (or 105494 counting only the distinct ones).

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

Adding to 211312000113320 its reverse (23311000213112), we get a palindrome (234623000326432).

The spelling of 211312000113320 in words is "two hundred eleven trillion, three hundred twelve billion, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 3209 6418 12836 16045 20011 25672 32090 40022 64180 80044 82267 100055 128360 160088 164534 200110 329068 400220 411335 658136 800440 822670 1645340 3290680 64215299 128430598 256861196 263994803 321076495 513722392 527989606 642152990 1055979212 1284305980 1319974015 1646244937 2111958424 2568611960 2639948030 3292489874 5279896060 6584979748 8231224685 10559792120 13169959496 16462449370 32924898740 65849797480 5282800002833 10565600005666 21131200011332 26414000014165 42262400022664 52828000028330 105656000056660 211312000113320