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110012220220212 = 22328741349604737
BaseRepresentation
bin11001000000111000110111…
…010011101010001100110100
3112102112001202210001021210200
4121000320313103222030310
5103404420011334021322
61025550525525320500
732113056241624662
oct3100706723521464
9472461683037720
10110012220220212
1132064a14335542
1210409131b66130
134950152c4c9ab
141d24896cc5c32
15caba0c4838ac
hex640e374ea334

110012220220212 has 36 divisors (see below), whose sum is σ = 278118260383236. Its totient is φ = 36666544711680.

The previous prime is 110012220220211. The next prime is 110012220220223. The reversal of 110012220220212 is 212022022210011.

It is a happy number.

110012220220212 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 12 + 220 + 220 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20234397006756 + 89777823213456 = 4498266^2 + 9475116^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110012220220211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174487693 + ... + 175117044.

Almost surely, 2110012220220212 is an apocalyptic number.

110012220220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110012220220212 is an abundant number, since it is smaller than the sum of its proper divisors (168106040163024).

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

110012220220212 is a wasteful number, since it uses less digits than its factorization.

110012220220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349613488 (or 349613483 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 110012220220212 its reverse (212022022210011), we get a palindrome (322034242430223).

The spelling of 110012220220212 in words is "one hundred ten trillion, twelve billion, two hundred twenty million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 8741 17482 26223 34964 52446 78669 104892 157338 314676 349604737 699209474 1048814211 1398418948 2097628422 3146442633 4195256844 6292885266 12585770532 3055895006117 6111790012234 9167685018351 12223580024468 18335370036702 27503055055053 36670740073404 55006110110106 110012220220212