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10020220022120 = 2357112295756199
BaseRepresentation
bin1001000111010000001110…
…1001111010110101101000
31022110220221100202210200112
42101310003221322311220
52303132402311201440
633151120414153452
72052636251606150
oct221640351726550
938426840683615
1010020220022120
113213607a80a00
121159b9b4b2888
13578b972aa959
14268da4729760
151259b0170965
hex91d03a7ad68

10020220022120 has 96 divisors (see below), whose sum is σ = 28321613712000. Its totient is φ = 3123185450880.

The previous prime is 10020220022119. The next prime is 10020220022123. The reversal of 10020220022120 is 2122002202001.

It is a super-3 number, since 3×100202200221203 (a number of 40 digits) contains 333 as substring.

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 = 10020220022095 and 10020220022104.

It is not an unprimeable number, because it can be changed into a prime (10020220022123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147844220 + ... + 147911979.

It is an arithmetic number, because the mean of its divisors is an integer number (295016809500).

Almost surely, 210020220022120 is an apocalyptic number.

10020220022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020220022120 is an abundant number, since it is smaller than the sum of its proper divisors (18301393689880).

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

10020220022120 is a wasteful number, since it uses less digits than its factorization.

10020220022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295756239 (or 295756224 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10020220022120 its reverse (2122002202001), we get a palindrome (12142222224121).

The spelling of 10020220022120 in words is "ten trillion, twenty billion, two hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 33880 295756199 591512398 1183024796 1478780995 2070293393 2366049592 2957561990 3253318189 4140586786 5915123980 6506636378 8281173572 10351466965 11830247960 13013272756 16266590945 16562347144 20702933930 22773227323 26026545512 32533181890 35786500079 41405867860 45546454646 65066363780 71573000158 82811735720 91092909292 113866136615 130132727560 143146000316 178932500395 182185818584 227732273230 250505500553 286292000632 357865000790 455464546460 501011001106 715730001580 910929092920 1002022002212 1252527502765 1431460003160 2004044004424 2505055005530 5010110011060 10020220022120