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20242013102304 = 2537110572724251
BaseRepresentation
bin1001001101000111101100…
…00000000010000011100000
32122200010011200210220212020
410212203312000002003200
510123121120323233204
6111015015154501440
74156302645321420
oct446436600020340
978603150726766
1020242013102304
1164a4653762894
12232b055294880
13b3aa76769456
144dda0c016480
1525181b8e1bd9
hex1268f60020e0

20242013102304 has 96 divisors (see below), whose sum is σ = 60731553689856. Its totient is φ = 5782907136000.

The previous prime is 20242013102303. The next prime is 20242013102317. The reversal of 20242013102304 is 40320131024202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20242013102303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6068179 + ... + 8792429.

It is an arithmetic number, because the mean of its divisors is an integer number (632620350936).

Almost surely, 220242013102304 is an apocalyptic number.

20242013102304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20242013102304 is an abundant number, since it is smaller than the sum of its proper divisors (40489540587552).

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

20242013102304 is a wasteful number, since it uses less digits than its factorization.

20242013102304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2735328 (or 2735320 counting only the distinct ones).

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

Adding to 20242013102304 its reverse (40320131024202), we get a palindrome (60562144126506).

The spelling of 20242013102304 in words is "twenty trillion, two hundred forty-two billion, thirteen million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 11057 22114 33171 44228 66342 77399 88456 132684 154798 176912 232197 265368 309596 353824 464394 530736 619192 928788 1061472 1238384 1857576 2476768 2724251 3715152 5448502 7430304 8172753 10897004 16345506 19069757 21794008 32691012 38139514 43588016 57209271 65382024 76279028 87176032 114418542 130764048 152558056 228837084 261528096 305116112 457674168 610232224 915348336 1830696672 30122043307 60244086614 90366129921 120488173228 180732259842 210854303149 240976346456 361464519684 421708606298 481952692912 632562909447 722929039368 843417212596 963905385824 1265125818894 1445858078736 1686834425192 2530251637788 2891716157472 3373668850384 5060503275576 6747337700768 10121006551152 20242013102304