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20220222100120 = 2357313071127603
BaseRepresentation
bin1001001100011111000110…
…01001111101001010011000
32122121000221001012022111021
410212033203021331022120
510122242003324200440
6111001013010012224
74154601645004000
oct446174311751230
978530831168437
1020220222100120
116496391265379
122326993577074
13b389b3002113
144dc941d1b000
15250e937e884a
hex1263e327d298

20220222100120 has 128 divisors (see below), whose sum is σ = 53096617152000. Its totient is φ = 6927337189248.

The previous prime is 20220222100087. The next prime is 20220222100151. The reversal of 20220222100120 is 2100122202202.

It is a junction number, because it is equal to n+sod(n) for n = 20220222100094 and 20220222100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17368239 + ... + 18495841.

It is an arithmetic number, because the mean of its divisors is an integer number (414817321500).

Almost surely, 220220222100120 is an apocalyptic number.

20220222100120 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 20220222100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26548308576000).

20220222100120 is an abundant number, since it is smaller than the sum of its proper divisors (32876395051880).

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

20220222100120 is a wasteful number, since it uses less digits than its factorization.

20220222100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128942 (or 1128924 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20220222100120 its reverse (2100122202202), we get a palindrome (22320344302322).

The spelling of 20220222100120 in words is "twenty trillion, two hundred twenty billion, two hundred twenty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1307 1372 1715 1960 2614 2744 3430 5228 6535 6860 9149 10456 13070 13720 18298 26140 36596 45745 52280 64043 73192 91490 128086 182980 256172 320215 365960 448301 512344 640430 896602 1127603 1280860 1793204 2241505 2255206 2561720 3586408 4483010 4510412 5638015 7893221 8966020 9020824 11276030 15786442 17932040 22552060 31572884 39466105 45104120 55252547 63145768 78932210 110505094 157864420 221010188 276262735 315728840 386767829 442020376 552525470 773535658 1105050940 1473777121 1547071316 1933839145 2210101880 2947554242 3094142632 3867678290 5895108484 7368885605 7735356580 10316439847 11790216968 14737771210 15470713160 20632879694 29475542420 41265759388 51582199235 58951084840 72215078929 82531518776 103164398470 144430157858 206328796940 288860315716 361075394645 412657593880 505505552503 577720631432 722150789290 1011011105006 1444301578580 2022022210012 2527527762515 2888603157160 4044044420024 5055055525030 10110111050060 20220222100120