Search a number
-
+
10513035 = 3251317971
BaseRepresentation
bin101000000110…
…101010001011
3201210010011200
4220012222023
510142404120
61013155243
7155234151
oct50065213
921703150
1010513035
115a30665
12362bb23
132241240
1415793d1
15dc9e90
hexa06a8b

10513035 has 24 divisors (see below), whose sum is σ = 19625424. Its totient is φ = 5175360.

The previous prime is 10512991. The next prime is 10513039. The reversal of 10513035 is 53031501.

It is a happy number.

It is not a de Polignac number, because 10513035 - 27 = 10512907 is a prime.

It is a super-2 number, since 2×105130352 = 221047809822450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10512999 and 10513017.

It is not an unprimeable number, because it can be changed into a prime (10513039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8401 + ... + 9570.

It is an arithmetic number, because the mean of its divisors is an integer number (817726).

Almost surely, 210513035 is an apocalyptic number.

10513035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10513035 is a deficient number, since it is larger than the sum of its proper divisors (9112389).

10513035 is a wasteful number, since it uses less digits than its factorization.

10513035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17995 (or 17992 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 10513035 is about 3242.3810695228. The cubic root of 10513035 is about 219.0665338596.

Adding to 10513035 its reverse (53031501), we get a palindrome (63544536).

The spelling of 10513035 in words is "ten million, five hundred thirteen thousand, thirty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 17971 53913 89855 161739 233623 269565 700869 808695 1168115 2102607 3504345 10513035