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10012202222112 = 253234764591049
BaseRepresentation
bin1001000110110010010111…
…0000011100001000100000
31022110011020120212100202200
42101230211300130020200
52303014442232101422
633143313041013200
72052233463462006
oct221544560341040
938404216770680
1010012202222112
113210173156102
121158522324200
135781ba1748ac
1426884394aa76
1512569130b2ac
hex91b25c1c220

10012202222112 has 36 divisors (see below), whose sum is σ = 28472200069950. Its totient is φ = 3337400740608.

The previous prime is 10012202222111. The next prime is 10012202222153. The reversal of 10012202222112 is 21122220221001.

It is a happy number.

10012202222112 is a `hidden beast` number, since 10 + 0 + 1 + 220 + 222 + 211 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9305452634256 + 706749587856 = 3050484^2 + 840684^2 .

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 not an unprimeable number, because it can be changed into a prime (10012202222111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17382295237 + ... + 17382295812.

Almost surely, 210012202222112 is an apocalyptic number.

10012202222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012202222112 is an abundant number, since it is smaller than the sum of its proper divisors (18459997847838).

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

10012202222112 is a wasteful number, since it uses less digits than its factorization.

10012202222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34764591065 (or 34764591054 counting only the distinct ones).

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

Adding to 10012202222112 its reverse (21122220221001), we get a palindrome (31134422443113).

The spelling of 10012202222112 in words is "ten trillion, twelve billion, two hundred two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 34764591049 69529182098 104293773147 139058364196 208587546294 278116728392 312881319441 417175092588 556233456784 625762638882 834350185176 1112466913568 1251525277764 1668700370352 2503050555528 3337400740704 5006101111056 10012202222112