Search a number
-
+
10131366 = 237463521
BaseRepresentation
bin100110101001…
…011110100110
3201001201121210
4212221132212
510043200431
61001052250
7152054340
oct46513646
921051553
1010131366
11579a933
123487086
1321395bb
1414ba290
15d51d46
hex9a97a6

10131366 has 32 divisors (see below), whose sum is σ = 23251968. Its totient is φ = 2882880.

The previous prime is 10131361. The next prime is 10131403. The reversal of 10131366 is 66313101.

It is a super-3 number, since 3×101313663 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19186 + ... + 19706.

It is an arithmetic number, because the mean of its divisors is an integer number (726624).

Almost surely, 210131366 is an apocalyptic number.

10131366 is an abundant number, since it is smaller than the sum of its proper divisors (13120602).

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

10131366 is a wasteful number, since it uses less digits than its factorization.

10131366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 10131366 is about 3182.9806785464. The cubic root of 10131366 is about 216.3827661002.

Adding to 10131366 its reverse (66313101), we get a palindrome (76444467).

The spelling of 10131366 in words is "ten million, one hundred thirty-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 463 521 926 1042 1389 1563 2778 3126 3241 3647 6482 7294 9723 10941 19446 21882 241223 482446 723669 1447338 1688561 3377122 5065683 10131366