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21021001220120 = 23511712237300799
BaseRepresentation
bin1001100011110010101010…
…10011111000000000011000
32202102120212201101110012012
410301321111103320000120
510223402002303020440
6112412525321405052
74266501002136626
oct461712523700030
982376781343165
1021021001220120
116774a581994a0
122436016939788
13b9636c500835
145295c9934516
15266c101dae65
hex131e554f8018

21021001220120 has 128 divisors (see below), whose sum is σ = 52347285504000. Its totient is φ = 7532944473600.

The previous prime is 21021001220083. The next prime is 21021001220209. The reversal of 21021001220120 is 2102210012012.

It is a junction number, because it is equal to n+sod(n) for n = 21021001220095 and 21021001220104.

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, 69733481 + ... + 70034279.

It is an arithmetic number, because the mean of its divisors is an integer number (408963168000).

Almost surely, 221021001220120 is an apocalyptic number.

21021001220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21021001220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26173642752000).

21021001220120 is an abundant number, since it is smaller than the sum of its proper divisors (31326284283880).

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

21021001220120 is a wasteful number, since it uses less digits than its factorization.

21021001220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303129 (or 303125 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21021001220120 its reverse (2102210012012), we get a palindrome (23123211232132).

The spelling of 21021001220120 in words is "twenty-one trillion, twenty-one billion, one million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 142 220 284 355 440 568 710 781 1420 1562 2237 2840 3124 3905 4474 6248 7810 8948 11185 15620 17896 22370 24607 31240 44740 49214 89480 98428 123035 158827 196856 246070 300799 317654 492140 601598 635308 794135 984280 1203196 1270616 1503995 1588270 1747097 2406392 3007990 3176540 3308789 3494194 6015980 6353080 6617578 6988388 8735485 12031960 13235156 13976776 16543945 17470970 21356729 26470312 33087890 34941940 42713458 66175780 69883880 85426916 106783645 132351560 170853832 213567290 234924019 427134580 469848038 672887363 854269160 939696076 1174620095 1345774726 1879392152 2349240190 2691549452 3364436815 4698480380 5383098904 6728873630 7401760993 9396960760 13457747260 14803521986 26915494520 29607043972 37008804965 47775002773 59214087944 74017609930 95550005546 148035219860 191100011092 238875013865 296070439720 382200022184 477750027730 525525030503 955500055460 1051050061006 1911000110920 2102100122012 2627625152515 4204200244024 5255250305030 10510500610060 21021001220120