Search a number
-
+
10561131 = 3371719173
BaseRepresentation
bin101000010010…
…011001101011
3201212120011000
4220102121223
510200424011
61014210043
7155524320
oct50223153
921776130
1010561131
115a63809
123653923
13225a0b9
14158cb47
15dd9356
hexa1266b

10561131 has 64 divisors (see below), whose sum is σ = 20044800. Its totient is φ = 5349888.

The previous prime is 10561127. The next prime is 10561139. The reversal of 10561131 is 13116501.

It is not a de Polignac number, because 10561131 - 22 = 10561127 is a prime.

It is a super-2 number, since 2×105611312 = 223074975998322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10561139) 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 63 ways as a sum of consecutive naturals, for example, 60961 + ... + 61133.

It is an arithmetic number, because the mean of its divisors is an integer number (313200).

Almost surely, 210561131 is an apocalyptic number.

10561131 is a deficient number, since it is larger than the sum of its proper divisors (9483669).

10561131 is a wasteful number, since it uses less digits than its factorization.

10561131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10561131 is about 3249.7893777905. The cubic root of 10561131 is about 219.4000942877.

Adding to 10561131 its reverse (13116501), we get a palindrome (23677632).

It can be divided in two parts, 1056 and 1131, that added together give a 7-th power (2187 = 37).

The spelling of 10561131 in words is "ten million, five hundred sixty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 19 21 27 51 57 63 119 133 153 171 173 189 323 357 399 459 513 519 969 1071 1197 1211 1557 2261 2907 2941 3213 3287 3591 3633 4671 6783 8721 8823 9861 10899 20349 20587 23009 26469 29583 32697 55879 61047 61761 69027 79407 88749 167637 185283 207081 391153 502911 555849 621243 1173459 1508733 3520377 10561131