Search a number
-
+
10434310110 = 233575520799
BaseRepresentation
bin10011011011110111…
…01110111111011110
3222221011222212121000
421231323232333132
5132332140410420
64443215251130
7516400113120
oct115573567736
928834885530
1010434310110
114474994694
122032519aa6
13ca39827c3
1470dad9210
1541109c690
hex26deeefde

10434310110 has 64 divisors (see below), whose sum is σ = 31799808000. Its totient is φ = 2384984736.

The previous prime is 10434310093. The next prime is 10434310121. The reversal of 10434310110 is 1101343401.

10434310110 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2758510 + ... + 2762289.

It is an arithmetic number, because the mean of its divisors is an integer number (496872000).

Almost surely, 210434310110 is an apocalyptic number.

10434310110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10434310110 is an abundant number, since it is smaller than the sum of its proper divisors (21365497890).

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

10434310110 is a wasteful number, since it uses less digits than its factorization.

10434310110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520822 (or 5520816 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10434310110 its reverse (1101343401), we get a palindrome (11535653511).

The spelling of 10434310110 in words is "ten billion, four hundred thirty-four million, three hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 5520799 11041598 16562397 27603995 33124794 38645593 49687191 55207990 77291186 82811985 99374382 115936779 149061573 165623970 193227965 231873558 248435955 298123146 347810337 386455930 496871910 579683895 695620674 745307865 1043431011 1159367790 1490615730 1739051685 2086862022 3478103370 5217155055 10434310110