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10020314244340 = 2256771927711353
BaseRepresentation
bin1001000111010000100101…
…0001010110010011110100
31022110221011221001210021101
42101310021101112103310
52303133100421304330
633151134021455444
72052641504515411
oct221641121262364
938427157053241
1010020314244340
113213656186504
12115a006b71584
13578bb097a64a
14268db3055108
151259b85834ca
hex91d094564f4

10020314244340 has 96 divisors (see below), whose sum is σ = 21661770864384. Its totient is φ = 3891930577920.

The previous prime is 10020314244329. The next prime is 10020314244341. The reversal of 10020314244340 is 4344241302001.

It is a junction number, because it is equal to n+sod(n) for n = 10020314244299 and 10020314244308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020314244341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 882608104 + ... + 882619456.

It is an arithmetic number, because the mean of its divisors is an integer number (225643446504).

Almost surely, 210020314244340 is an apocalyptic number.

10020314244340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020314244340 is an abundant number, since it is smaller than the sum of its proper divisors (11641456620044).

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

10020314244340 is a wasteful number, since it uses less digits than its factorization.

10020314244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20777 (or 20775 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 10020314244340 its reverse (4344241302001), we get a palindrome (14364555546341).

The spelling of 10020314244340 in words is "ten trillion, twenty billion, three hundred fourteen million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 67 71 134 142 268 284 335 355 670 710 1340 1420 4757 9277 9514 11353 18554 19028 22706 23785 37108 45412 46385 47570 56765 92770 95140 113530 185540 227060 621559 658667 760651 806063 1243118 1317334 1521302 1612126 2486236 2634668 3042604 3107795 3224252 3293335 3803255 4030315 6215590 6586670 7606510 8060630 12431180 13173340 15213020 16121260 44130689 54006221 88261378 105321781 108012442 176522756 210643562 216024884 220653445 270031105 421287124 441306890 526608905 540062210 882613780 1053217810 1080124420 2106435620 7056559327 7477846451 14113118654 14955692902 28226237308 29911385804 35282796635 37389232255 70565593270 74778464510 141131186540 149556929020 501015712217 1002031424434 2004062848868 2505078561085 5010157122170 10020314244340