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110010101212212 = 22331382158576091
BaseRepresentation
bin11001000000110110111001…
…000000010010010000110100
3112102111212022002202112021220
4121000312321000102100310
5103404401141402242322
61025545535351510340
732112652601433045
oct3100667100222064
9472455262675256
10110010101212212
11320640271a4463
12104088403883b0
13494cba5c380c6
141d247356cc8cc
15cab93641455c
hex640db9012434

110010101212212 has 96 divisors (see below), whose sum is σ = 257910342958464. Its totient is φ = 36496128614400.

The previous prime is 110010101212153. The next prime is 110010101212217. The reversal of 110010101212212 is 212212101010011.

It is a happy number.

It is a super-2 number, since 2×1100101012122122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110010101212191 and 110010101212200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110010101212217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18061087287 + ... + 18061093377.

It is an arithmetic number, because the mean of its divisors is an integer number (2686566072484).

Almost surely, 2110010101212212 is an apocalyptic number.

110010101212212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110010101212212 is an abundant number, since it is smaller than the sum of its proper divisors (147900241746252).

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

110010101212212 is a wasteful number, since it uses less digits than its factorization.

110010101212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13089 (or 13087 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110010101212212 its reverse (212212101010011), we get a palindrome (322222202222223).

The spelling of 110010101212212 in words is "one hundred ten trillion, ten billion, one hundred one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 313 626 821 939 1252 1642 1878 2463 3284 3756 4926 5857 6091 9852 11714 12182 17571 18273 23428 24364 35142 36546 70284 73092 256973 513946 770919 1027892 1541838 1833241 1906483 3083676 3666482 3812966 4808597 5000711 5499723 5719449 7332964 7625932 9617194 10001422 10999446 11438898 14425791 15002133 19234388 20002844 21998892 22877796 28851582 30004266 35674987 57703164 60008532 71349974 107024961 142699948 214049922 428099844 1505090861 1565222543 3010181722 3130445086 4515272583 4695667629 6020363444 6260890172 9030545166 9391335258 11166270931 18061090332 18782670516 22332541862 29289164327 33498812793 44665083724 58578328654 66997625586 87867492981 117156657308 133995251172 175734985962 351469971924 9167508434351 18335016868702 27502525303053 36670033737404 55005050606106 110010101212212