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10430240214300 = 22352103337548227
BaseRepresentation
bin1001011111000111101011…
…0000110100110100011100
31100221010021101002200021020
42113301322300310310130
52331342112443324200
634103330342004140
72124363035001354
oct227617260646434
940833241080236
1010430240214300
113361492759a65
12120554a416650
135a874b85619a
14280b7d5c9b64
151314ab5b4ea0
hex97c7ac34d1c

10430240214300 has 72 divisors (see below), whose sum is σ = 30471153638016. Its totient is φ = 2754393524160.

The previous prime is 10430240214151. The next prime is 10430240214419. The reversal of 10430240214300 is 341204203401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168743214 + ... + 168805013.

Almost surely, 210430240214300 is an apocalyptic number.

10430240214300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10430240214300 is an abundant number, since it is smaller than the sum of its proper divisors (20040913423716).

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

10430240214300 is a wasteful number, since it uses less digits than its factorization.

10430240214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337548347 (or 337548340 counting only the distinct ones).

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

Adding to 10430240214300 its reverse (341204203401), we get a palindrome (10771444417701).

The spelling of 10430240214300 in words is "ten trillion, four hundred thirty billion, two hundred forty million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 618 1030 1236 1545 2060 2575 3090 5150 6180 7725 10300 15450 30900 337548227 675096454 1012644681 1350192908 1687741135 2025289362 3375482270 4050578724 5063223405 6750964540 8438705675 10126446810 16877411350 20252893620 25316117025 33754822700 34767467381 50632234050 69534934762 101264468100 104302402143 139069869524 173837336905 208604804286 347674673810 417209608572 521512010715 695349347620 869186684525 1043024021430 1738373369050 2086048042860 2607560053575 3476746738100 5215120107150 10430240214300