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10131210 = 2335157239
BaseRepresentation
bin100110101001…
…011100001010
3201001201102000
4212221130022
510043144320
61001051430
7152054025
oct46513412
921051360
1010131210
11579a801
123486b76
1321394cb
1414ba1bc
15d51c90
hex9a970a

10131210 has 64 divisors (see below), whose sum is σ = 27302400. Its totient is φ = 2673216.

The previous prime is 10131181. The next prime is 10131211. The reversal of 10131210 is 1213101.

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 = 10131192 and 10131201.

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 31 ways as a sum of consecutive naturals, for example, 42271 + ... + 42509.

It is an arithmetic number, because the mean of its divisors is an integer number (426600).

Almost surely, 210131210 is an apocalyptic number.

10131210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651200).

10131210 is an abundant number, since it is smaller than the sum of its proper divisors (17171190).

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

10131210 is a wasteful number, since it uses less digits than its factorization.

10131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10131210 is about 3182.9561731196. The cubic root of 10131210 is about 216.3816554936.

Adding to 10131210 its reverse (1213101), we get a palindrome (11344311).

The spelling of 10131210 in words is "ten million, one hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 239 270 314 471 478 717 785 942 1195 1413 1434 1570 2151 2355 2390 2826 3585 4239 4302 4710 6453 7065 7170 8478 10755 12906 14130 21195 21510 32265 37523 42390 64530 75046 112569 187615 225138 337707 375230 562845 675414 1013121 1125690 1688535 2026242 3377070 5065605 10131210