Search a number
-
+
1000122022020 = 2235113174780241
BaseRepresentation
bin11101000110110111110…
…10101111100010000100
310112121111020000210020010
432203123322233202010
5112341222214201040
62043241045510220
7132153645631242
oct16433372574204
93477436023203
101000122022020
11356170898940
121419b6a12370
137340764cc14
143659872b792
151b03731ae80
hexe8dbeaf884

1000122022020 has 96 divisors (see below), whose sum is σ = 3064555783296. Its totient is φ = 241688934400.

The previous prime is 1000122022013. The next prime is 1000122022051. The reversal of 1000122022020 is 202202210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1000122021987 and 1000122022005.

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, 2180901 + ... + 2599340.

It is an arithmetic number, because the mean of its divisors is an integer number (31922456076).

Almost surely, 21000122022020 is an apocalyptic number.

1000122022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000122022020 is an abundant number, since it is smaller than the sum of its proper divisors (2064433761276).

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

1000122022020 is a wasteful number, since it uses less digits than its factorization.

1000122022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780581 (or 4780579 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1000122022020 its reverse (202202210001), we get a palindrome (1202324232021).

The spelling of 1000122022020 in words is "one trillion, one hundred twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 317 330 634 660 951 1268 1585 1902 3170 3487 3804 4755 6340 6974 9510 10461 13948 17435 19020 20922 34870 41844 52305 69740 104610 209220 4780241 9560482 14340723 19120964 23901205 28681446 47802410 52582651 57362892 71703615 95604820 105165302 143407230 157747953 210330604 262913255 286814460 315495906 525826510 630991812 788739765 1051653020 1515336397 1577479530 3030672794 3154959060 4546009191 6061345588 7576681985 9092018382 15153363970 16668700367 18184036764 22730045955 30306727940 33337400734 45460091910 50006101101 66674801468 83343501835 90920183820 100012202202 166687003670 200024404404 250030505505 333374007340 500061011010 1000122022020