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211110001210020 = 2235111733184572209
BaseRepresentation
bin110000000000000011100000…
…101000010111001010100100
31000200110220210221222012002110
4300000003200220113022210
5210132311240302210040
62024554332400441020
762316123426411303
oct6000034050271244
91020426727865073
10211110001210020
11612a2281069490
121b816648319170
1390a4784214803
143a1bac85b643a
1519616c79ce980
hexc000e0a172a4

211110001210020 has 96 divisors (see below), whose sum is σ = 645217195674240. Its totient is φ = 51148650280960.

The previous prime is 211110001210007. The next prime is 211110001210027. The reversal of 211110001210020 is 20012100011112.

It is a super-2 number, since 2×2111100012100202 (a number of 29 digits) contains 22 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 = 211110001209978 and 211110001210005.

It is not an unprimeable number, because it can be changed into a prime (211110001210027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91142325 + ... + 93429884.

It is an arithmetic number, because the mean of its divisors is an integer number (6721012454940).

Almost surely, 2211110001210020 is an apocalyptic number.

211110001210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110001210020 is an abundant number, since it is smaller than the sum of its proper divisors (434107194464220).

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

211110001210020 is a wasteful number, since it uses less digits than its factorization.

211110001210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184573965 (or 184573963 counting only the distinct ones).

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

Adding to 211110001210020 its reverse (20012100011112), we get a palindrome (231122101221132).

The spelling of 211110001210020 in words is "two hundred eleven trillion, one hundred ten billion, one million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1733 3466 5199 6932 8665 10398 17330 19063 20796 25995 34660 38126 51990 57189 76252 95315 103980 114378 190630 228756 285945 381260 571890 1143780 184572209 369144418 553716627 738288836 922861045 1107433254 1845722090 2030294299 2214866508 2768583135 3691444180 4060588598 5537166270 6090882897 8121177196 10151471495 11074332540 12181765794 20302942990 24363531588 30454414485 40605885980 60908828970 121817657940 319863638197 639727276394 959590914591 1279454552788 1599318190985 1919181829182 3198636381970 3518500020167 3838363658364 4797954572955 6397272763940 7037000040334 9595909145910 10555500060501 14074000080668 17592500100835 19191818291820 21111000121002 35185000201670 42222000242004 52777500302505 70370000403340 105555000605010 211110001210020