Search a number
-
+
101112212200212 = 2235104024909671
BaseRepresentation
bin10110111111011000000101…
…011111011001101100010100
3111021000020021220210100100000
4112333120011133121230110
5101223110302310401322
6555014150430051300
730204054606643113
oct2677300537315424
9437006256710300
10101112212200212
112a2434a2884a14
12b410283349b30
134455ac1022195
141ad7c00173c7a
15ba526245a3ac
hex5bf6057d9b14

101112212200212 has 36 divisors (see below), whose sum is σ = 265055469844256. Its totient is φ = 33704070733080.

The previous prime is 101112212200193. The next prime is 101112212200249. The reversal of 101112212200212 is 212002212211101.

101112212200212 is a `hidden beast` number, since 1 + 0 + 1 + 11 + 221 + 220 + 0 + 212 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52012453864 + ... + 52012455807.

Almost surely, 2101112212200212 is an apocalyptic number.

101112212200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101112212200212 is an abundant number, since it is smaller than the sum of its proper divisors (163943257644044).

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

101112212200212 is a wasteful number, since it uses less digits than its factorization.

101112212200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104024909690 (or 104024909676 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101112212200212 its reverse (212002212211101), we get a palindrome (313114424411313).

The spelling of 101112212200212 in words is "one hundred one trillion, one hundred twelve billion, two hundred twelve million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 104024909671 208049819342 312074729013 416099638684 624149458026 936224187039 1248298916052 1872448374078 2808672561117 3744896748156 5617345122234 8426017683351 11234690244468 16852035366702 25278053050053 33704070733404 50556106100106 101112212200212