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21113342102040 = 23351766591554239
BaseRepresentation
bin1001100110011110101010…
…10000011000101000011000
32202202102020010001021121220
410303033111100120220120
510231410111034231130
6112523200243132040
74306250204525046
oct463172520305030
982672203037556
1021113342102040
116800133213841
12244baa7674020
13ba1c972b0036
1452dc696a3396
15269316d12410
hex1333d5418a18

21113342102040 has 128 divisors (see below), whose sum is σ = 67076024832000. Its totient is φ = 5298235701248.

The previous prime is 21113342102033. The next prime is 21113342102117. The reversal of 21113342102040 is 4020124331112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21113342102040.

It is a congruent number.

It is an unprimeable number.

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, 12807241 + ... + 14361479.

It is an arithmetic number, because the mean of its divisors is an integer number (524031444000).

Almost surely, 221113342102040 is an apocalyptic number.

21113342102040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21113342102040 is an abundant number, since it is smaller than the sum of its proper divisors (45962682729960).

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

21113342102040 is a wasteful number, since it uses less digits than its factorization.

21113342102040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560929 (or 1560925 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21113342102040 its reverse (4020124331112), we get a palindrome (25133466433152).

The spelling of 21113342102040 in words is "twenty-one trillion, one hundred thirteen billion, three hundred forty-two million, one hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 6659 13318 19977 26636 33295 39954 53272 66590 79908 99885 113203 133180 159816 199770 226406 266360 339609 399540 452812 566015 679218 799080 905624 1132030 1358436 1554239 1698045 2264060 2716872 3108478 3396090 4528120 4662717 6216956 6792180 7771195 9325434 12433912 13584360 15542390 18650868 23313585 26422063 31084780 37301736 46627170 52844126 62169560 79266189 93254340 105688252 132110315 158532378 186508680 211376504 264220630 317064756 396330945 528441260 634129512 792661890 1056882520 1585323780 3170647560 10349677501 20699355002 31049032503 41398710004 51748387505 62098065006 82797420008 103496775010 124196130012 155245162515 175944517517 206993550020 248392260024 310490325030 351889035034 413987100040 527833552551 620980650060 703778070068 879722587585 1055667105102 1241961300120 1407556140136 1759445175170 2111334210204 2639167762755 3518890350340 4222668420408 5278335525510 7037780700680 10556671051020 21113342102040