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10131212 = 2271322141
BaseRepresentation
bin100110101001…
…011100001100
3201001201102002
4212221130030
510043144322
61001051432
7152054030
oct46513414
921051362
1010131212
11579a803
123486b78
132139500
1414ba1c0
15d51c92
hex9a970c

10131212 has 36 divisors (see below), whose sum is σ = 21951216. Its totient is φ = 4006080.

The previous prime is 10131211. The next prime is 10131227. The reversal of 10131212 is 21213101.

It is a junction number, because it is equal to n+sod(n) for n = 10131193 and 10131202.

It is not an unprimeable number, because it can be changed into a prime (10131211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3662 + ... + 5802.

It is an arithmetic number, because the mean of its divisors is an integer number (609756).

Almost surely, 210131212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975608).

10131212 is an abundant number, since it is smaller than the sum of its proper divisors (11820004).

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

10131212 is a wasteful number, since it uses less digits than its factorization.

10131212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 10131212 is about 3182.9564872929. The cubic root of 10131212 is about 216.3816697323.

Adding to 10131212 its reverse (21213101), we get a palindrome (31344313).

It can be divided in two parts, 101 and 31212, that added together give a palindrome (31313).

The spelling of 10131212 in words is "ten million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 169 182 338 364 676 1183 2141 2366 4282 4732 8564 14987 27833 29974 55666 59948 111332 194831 361829 389662 723658 779324 1447316 2532803 5065606 10131212