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10053005430 = 2351382131397
BaseRepresentation
bin10010101110011010…
…01011000001110110
3221221121111120220110
421113031023001312
5131042032133210
64341314443450
7504060064506
oct112715130166
927847446813
1010053005430
114299728856
121b46893586
13c42988830
146b51dda06
153dc87d420
hex25734b076

10053005430 has 64 divisors (see below), whose sum is σ = 26015629248. Its totient is φ = 2471493120.

The previous prime is 10053005429. The next prime is 10053005441. The reversal of 10053005430 is 3450035001.

10053005430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10053005397 and 10053005406.

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 31 ways as a sum of consecutive naturals, for example, 304492 + ... + 335888.

It is an arithmetic number, because the mean of its divisors is an integer number (406494207).

Almost surely, 210053005430 is an apocalyptic number.

10053005430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053005430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007814624).

10053005430 is an abundant number, since it is smaller than the sum of its proper divisors (15962623818).

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

10053005430 is a wasteful number, since it uses less digits than its factorization.

10053005430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32241.

The product of its (nonzero) digits is 900, while the sum is 21.

The spelling of 10053005430 in words is "ten billion, fifty-three million, five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 821 1642 2463 4105 4926 8210 10673 12315 21346 24630 31397 32019 53365 62794 64038 94191 106730 156985 160095 188382 313970 320190 408161 470955 816322 941910 1224483 2040805 2448966 4081610 6122415 12244830 25776937 51553874 77330811 128884685 154661622 257769370 335100181 386654055 670200362 773308110 1005300543 1675500905 2010601086 3351001810 5026502715 10053005430