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1000012212 = 223227778117
BaseRepresentation
bin111011100110101…
…111100110110100
32120200200212212100
4323212233212310
54022000342322
6243121422100
733531651333
oct7346574664
92520625770
101000012212
11473531a81
1223aa9a930
1312c242904
1496b51d1a
155cbd4dac
hex3b9af9b4

1000012212 has 18 divisors (see below), whose sum is σ = 2527808738. Its totient is φ = 333337392.

The previous prime is 1000012187. The next prime is 1000012217. The reversal of 1000012212 is 2122100001.

It can be written as a sum of positive squares in only one way, i.e., 512750736 + 487261476 = 22644^2 + 22074^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000012194 and 1000012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000012217) 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 5 ways as a sum of consecutive naturals, for example, 13889023 + ... + 13889094.

Almost surely, 21000012212 is an apocalyptic number.

1000012212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000012212 is an abundant number, since it is smaller than the sum of its proper divisors (1527796526).

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

1000012212 is a wasteful number, since it uses less digits than its factorization.

1000012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27778127 (or 27778122 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1000012212 is about 31622.9696897682. The cubic root of 1000012212 is about 1000.0040706501.

Adding to 1000012212 its reverse (2122100001), we get a palindrome (3122112213).

The spelling of 1000012212 in words is "one billion, twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 27778117 55556234 83334351 111112468 166668702 250003053 333337404 500006106 1000012212