Search a number
-
+
10020440432013 = 3112340994134303
BaseRepresentation
bin1001000111010001000011…
…0010101101110110001101
31022110221111201111210012220
42101310100302231312031
52303133330222311023
633151154330245553
72052644566220454
oct221642062556615
938427451453186
1010020440432013
113213710434140
12115a0412868b9
13578c00b5cacb
14268dc5b01b9b
151259c46ac3e3
hex91d10cadd8d

10020440432013 has 64 divisors (see below), whose sum is σ = 15262722293760. Its totient is φ = 5788421337600.

The previous prime is 10020440431999. The next prime is 10020440432021. The reversal of 10020440432013 is 31023404402001.

It is not a de Polignac number, because 10020440432013 - 24 = 10020440431997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020440432413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 292098420 + ... + 292132722.

It is an arithmetic number, because the mean of its divisors is an integer number (238480035840).

Almost surely, 210020440432013 is an apocalyptic number.

It is an amenable number.

10020440432013 is a deficient number, since it is larger than the sum of its proper divisors (5242281861747).

10020440432013 is a wasteful number, since it uses less digits than its factorization.

10020440432013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35690.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10020440432013 its reverse (31023404402001), we get a palindrome (41043844834014).

The spelling of 10020440432013 in words is "ten trillion, twenty billion, four hundred forty million, four hundred thirty-two thousand, thirteen".

Divisors: 1 3 11 23 33 69 253 409 759 941 1227 2823 4499 9407 10351 13497 21643 28221 31053 34303 64929 102909 103477 238073 310431 377333 384869 714219 788969 1131999 1154607 2366907 4233559 8678659 8851987 12700677 14029927 26035977 26555961 32279123 42089781 96837369 97371857 154329197 292115571 322688321 355070353 462987591 742419829 968064963 1065211059 2227259487 3549571531 8166618119 10648714593 13202161307 24499854357 39606483921 145223774377 303649710061 435671323131 910949130183 3340146810671 10020440432013