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1022131231020 = 223351999622927
BaseRepresentation
bin11101101111110111100…
…01001101100100101100
310121201022002020110002000
432313323301031210230
5113221311043343040
62101321031332300
7133563236053314
oct16677361154454
93551262213060
101022131231020
11364535484369
12146119821090
1375504377703
14376857c8444
151b8c4668130
hexedfbc4d92c

1022131231020 has 96 divisors (see below), whose sum is σ = 3347330380800. Its totient is φ = 258222624192.

The previous prime is 1022131230977. The next prime is 1022131231031. The reversal of 1022131231020 is 201321312201.

1022131231020 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 312 + 310 + 20 = 666.

It is a super-2 number, since 2×10221312310202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1022131230984 and 1022131231002.

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, 49801204 + ... + 49821723.

It is an arithmetic number, because the mean of its divisors is an integer number (34868024800).

Almost surely, 21022131231020 is an apocalyptic number.

1022131231020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022131231020 is an abundant number, since it is smaller than the sum of its proper divisors (2325199149780).

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

1022131231020 is a wasteful number, since it uses less digits than its factorization.

1022131231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99622964 (or 99622956 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1022131231020 its reverse (201321312201), we get a palindrome (1223452543221).

The spelling of 1022131231020 in words is "one trillion, twenty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 99622927 199245854 298868781 398491708 498114635 597737562 896606343 996229270 1195475124 1494343905 1793212686 1892835613 1992458540 2689819029 2988687810 3586425372 3785671226 4483031715 5379638058 5678506839 5977375620 7571342452 8966063430 9464178065 10759276116 11357013678 13449095145 17035520517 17932126860 18928356130 22714027356 26898190290 28392534195 34071041034 37856712260 51106561551 53796380580 56785068390 68142082068 85177602585 102213123102 113570136780 170355205170 204426246204 255532807755 340710410340 511065615510 1022131231020