Search a number
-
+
10345433109 = 3111812397247
BaseRepresentation
bin10011010001010001…
…01100100000010101
3222200222202110021020
421220220230200111
5132141412324414
64430322311353
7514240505364
oct115050544025
928628673236
1010345433109
114429800020
1220087b8559
13c8b434a6b
14701da17db
154083937a9
hex268a2c815

10345433109 has 32 divisors (see below), whose sum is σ = 15196446720. Its totient is φ = 6208372800.

The previous prime is 10345433089. The next prime is 10345433141. The reversal of 10345433109 is 90133454301.

It is a happy number.

It is not a de Polignac number, because 10345433109 - 228 = 10076997653 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10345433109.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345433309) 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 31 ways as a sum of consecutive naturals, for example, 1423924 + ... + 1431170.

It is an arithmetic number, because the mean of its divisors is an integer number (474888960).

Almost surely, 210345433109 is an apocalyptic number.

It is an amenable number.

10345433109 is a deficient number, since it is larger than the sum of its proper divisors (4851013611).

10345433109 is a wasteful number, since it uses less digits than its factorization.

10345433109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7681.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 10345433109 in words is "ten billion, three hundred forty-five million, four hundred thirty-three thousand, one hundred nine".

Divisors: 1 3 11 33 181 239 543 717 1991 2629 5973 7247 7887 21741 43259 79717 129777 239151 475849 1311707 1427547 1732033 3935121 5196099 14428777 19052363 43286331 57157089 313497973 940493919 3448477703 10345433109