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1022021020010 = 251737201780557
BaseRepresentation
bin11101101111101010011…
…00110010100101101010
310121201000101212010222202
432313311030302211222
5113221044340120020
62101302053220202
7133560430222364
oct16676514624552
93551011763882
101022021020010
11364489249191
121460a8931662
13754b759a2b3
1437674cd9d34
151b8b9b47e75
hexedf533296a

1022021020010 has 64 divisors (see below), whose sum is σ = 2001513133728. Its totient is φ = 374171664384.

The previous prime is 1022021020001. The next prime is 1022021020037. The reversal of 1022021020010 is 100201202201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 651211878529 + 370809141481 = 806977^2 + 608941^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1022021019973 and 1022021020000.

It is an unprimeable number.

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, 12646652 + ... + 12727208.

Almost surely, 21022021020010 is an apocalyptic number.

1022021020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022021020010 is a deficient number, since it is larger than the sum of its proper divisors (979492113718).

1022021020010 is a wasteful number, since it uses less digits than its factorization.

1022021020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82635.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022021020010 its reverse (100201202201), we get a palindrome (1122222222211).

The spelling of 1022021020010 in words is "one trillion, twenty-two billion, twenty-one million, twenty thousand, ten".

Divisors: 1 2 5 10 17 34 37 74 85 170 185 370 629 1258 2017 3145 4034 6290 10085 20170 34289 68578 74629 80557 149258 161114 171445 342890 373145 402785 746290 805570 1268693 1369469 2537386 2738938 2980609 5961218 6343465 6847345 12686930 13694690 14903045 29806090 50670353 101340706 162483469 253351765 324966938 506703530 812417345 1624834690 2762218973 5524437946 6011888353 12023776706 13811094865 27622189730 30059441765 60118883530 102202102001 204404204002 511010510005 1022021020010