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21220101122020 = 2257383199879961
BaseRepresentation
bin1001101001100101100001…
…00101101110011111100100
32210010121210022222102012221
410310302300211232133210
510240132231341401040
6113044214015322124
74320046613316133
oct464626045563744
983117708872187
1021220101122020
116841437970669
122468720b20344
13bac07c1c0788
145350b627191a
1526beb461474a
hex134cb096e7e4

21220101122020 has 96 divisors (see below), whose sum is σ = 45946687852800. Its totient is φ = 8229329602560.

The previous prime is 21220101121997. The next prime is 21220101122027. The reversal of 21220101122020 is 2022110102212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21220101121985 and 21220101122003.

It is not an unprimeable number, because it can be changed into a prime (21220101122027) by changing a digit.

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, 23674840 + ... + 24554800.

It is an arithmetic number, because the mean of its divisors is an integer number (478611331800).

Almost surely, 221220101122020 is an apocalyptic number.

21220101122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220101122020 is an abundant number, since it is smaller than the sum of its proper divisors (24726586730780).

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

21220101122020 is a wasteful number, since it uses less digits than its factorization.

21220101122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880325 (or 880323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 21220101122020 its reverse (2022110102212), we get a palindrome (23242211224232).

The spelling of 21220101122020 in words is "twenty-one trillion, two hundred twenty billion, one hundred one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 73 83 146 166 199 292 332 365 398 415 730 796 830 995 1460 1660 1990 3980 6059 12118 14527 16517 24236 29054 30295 33034 58108 60590 66068 72635 82585 121180 145270 165170 290540 330340 879961 1205741 1759922 2411482 3519844 4399805 4822964 6028705 8799610 12057410 17599220 24114820 64237153 73036763 128474306 146073526 175112239 256948612 292147052 321185765 350224478 365183815 642371530 700448956 730367630 875561195 1284743060 1460735260 1751122390 3502244780 5331683699 10663367398 12783193447 14534315837 21326734796 25566386894 26658418495 29068631674 51132773788 53316836990 58137263348 63915967235 72671579185 106633673980 127831934470 145343158370 255663868940 290686316740 1061005056101 2122010112202 4244020224404 5305025280505 10610050561010 21220101122020