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21202011020120 = 23572916316018927
BaseRepresentation
bin1001101001000011110100…
…10101011101101101011000
32210001220002121021000121212
410310201322111131231120
510234333204310120440
6113032022553522252
74315536412065230
oct464417225355530
983056077230555
1021202011020120
1168347a4538327
122465112713388
13baa458403a78
1453427b8accc0
1526b7a63ae465
hex13487a55db58

21202011020120 has 128 divisors (see below), whose sum is σ = 56745450547200. Its totient is φ = 6975537440256.

The previous prime is 21202011020119. The next prime is 21202011020167. The reversal of 21202011020120 is 2102011020212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21202011020095 and 21202011020104.

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 31 ways as a sum of consecutive naturals, for example, 6685904 + ... + 9333023.

It is an arithmetic number, because the mean of its divisors is an integer number (443323832400).

Almost surely, 221202011020120 is an apocalyptic number.

21202011020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202011020120 is an abundant number, since it is smaller than the sum of its proper divisors (35543439527080).

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

21202011020120 is a wasteful number, since it uses less digits than its factorization.

21202011020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16019137 (or 16019133 counting only the distinct ones).

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

Adding to 21202011020120 its reverse (2102011020212), we get a palindrome (23304022040332).

The spelling of 21202011020120 in words is "twenty-one trillion, two hundred two billion, eleven million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 163 203 232 280 290 326 406 580 652 812 815 1015 1141 1160 1304 1624 1630 2030 2282 3260 4060 4564 4727 5705 6520 8120 9128 9454 11410 18908 22820 23635 33089 37816 45640 47270 66178 94540 132356 165445 189080 264712 330890 661780 1323560 16018927 32037854 64075708 80094635 112132489 128151416 160189270 224264978 320378540 448529956 464548883 560662445 640757080 897059912 929097766 1121324890 1858195532 2242649780 2322744415 2611085101 3251842181 3716391064 4485299560 4645488830 5222170202 6503684362 9290977660 10444340404 13007368724 13055425505 16259210905 18277595707 18581955320 20888680808 26014737448 26110851010 32518421810 36555191414 52221702020 65036843620 73110382828 75721467929 91387978535 104443404040 130073687240 146220765656 151442935858 182775957070 302885871716 365551914140 378607339645 530050275503 605771743432 731103828280 757214679290 1060100551006 1514429358580 2120201102012 2650251377515 3028858717160 4240402204024 5300502755030 10601005510060 21202011020120