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10113434420 = 2252331709217
BaseRepresentation
bin10010110101100111…
…01100001100110100
3222002211012200220012
421122303230030310
5131203014400140
64351313555352
7505422526355
oct113263541464
928084180805
1010113434420
11431a851a71
121b62b75b58
13c52355b2b
146bd24dd2c
153e2d18265
hex25acec334

10113434420 has 48 divisors (see below), whose sum is σ = 22876535808. Its totient is φ = 3744660480.

The previous prime is 10113434417. The next prime is 10113434447. The reversal of 10113434420 is 2443431101.

10113434420 is digitally balanced in base 2, 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 (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340349 + ... + 368868.

It is an arithmetic number, because the mean of its divisors is an integer number (476594496).

Almost surely, 210113434420 is an apocalyptic number.

10113434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113434420 is an abundant number, since it is smaller than the sum of its proper divisors (12763101388).

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

10113434420 is a wasteful number, since it uses less digits than its factorization.

10113434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709280 (or 709278 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10113434420 its reverse (2443431101), we get a palindrome (12556865521).

The spelling of 10113434420 in words is "ten billion, one hundred thirteen million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 7130 14260 709217 1418434 2836868 3546085 7092170 14184340 16311991 21985727 32623982 43971454 65247964 81559955 87942908 109928635 163119910 219857270 326239820 439714540 505671721 1011343442 2022686884 2528358605 5056717210 10113434420