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10012212220212 = 2232377516675841
BaseRepresentation
bin1001000110110010011001…
…0110100101000100110100
31022110011021021200022120200
42101230212112211010310
52303020002312021322
633143314035200500
72052233644452666
oct221544626450464
938404237608520
1010012212220212
1132101788648a4
121158525746130
135781bc265627
14268844dd0536
151256921338ac
hex91b265a5134

10012212220212 has 36 divisors (see below), whose sum is σ = 25992665061636. Its totient is φ = 3247203962880.

The previous prime is 10012212220211. The next prime is 10012212220217. The reversal of 10012212220212 is 21202221221001.

It is a happy number.

10012212220212 is a `hidden beast` number, since 10 + 0 + 1 + 221 + 2 + 220 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5506925795856 + 4505286424356 = 2346684^2 + 2122566^2 .

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 (10012212220211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3758336589 + ... + 3758339252.

Almost surely, 210012212220212 is an apocalyptic number.

10012212220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012212220212 is an abundant number, since it is smaller than the sum of its proper divisors (15980452841424).

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

10012212220212 is a wasteful number, since it uses less digits than its factorization.

10012212220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516675888 (or 7516675883 counting only the distinct ones).

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

Adding to 10012212220212 its reverse (21202221221001), we get a palindrome (31214433441213).

The spelling of 10012212220212 in words is "ten trillion, twelve billion, two hundred twelve million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 7516675841 15033351682 22550027523 30066703364 45100055046 67650082569 90200110092 135300165138 270600330276 278117006117 556234012234 834351018351 1112468024468 1668702036702 2503053055053 3337404073404 5006106110106 10012212220212