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1021221020212 = 221927355717393
BaseRepresentation
bin11101101110001011000…
…01000010001000110100
310121121221122111221120121
432313011201002020310
5113212430040121322
62101050434341324
7133531544306431
oct16670541021064
93547848457517
101021221020212
11364108708528
12145b04a2a844
13753ba917533
14375da970b88
151b86e7c0ec7
hexedc5842234

1021221020212 has 72 divisors (see below), whose sum is σ = 1915527539016. Its totient is φ = 476225796096.

The previous prime is 1021221020207. The next prime is 1021221020213. The reversal of 1021221020212 is 2120201221201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1270494736 + 1019950525476 = 35644^2 + 1009926^2 .

It is a super-2 number, since 2×10212210202122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021221020213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58705788 + ... + 58723180.

It is an arithmetic number, because the mean of its divisors is an integer number (26604549153).

Almost surely, 21021221020212 is an apocalyptic number.

It is an amenable number.

1021221020212 is a deficient number, since it is larger than the sum of its proper divisors (894306518804).

1021221020212 is a wasteful number, since it uses less digits than its factorization.

1021221020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18065 (or 18044 counting only the distinct ones).

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

Adding to 1021221020212 its reverse (2120201221201), we get a palindrome (3141422241413).

The spelling of 1021221020212 in words is "one trillion, twenty-one billion, two hundred twenty-one million, twenty thousand, two hundred twelve".

Divisors: 1 2 4 19 38 73 76 146 292 361 557 722 1114 1387 1444 2228 2774 5548 10583 17393 21166 26353 34786 40661 42332 52706 69572 81322 105412 162644 201077 330467 402154 660934 772559 804308 1269689 1321868 1545118 2539378 3090236 5078756 6278873 9687901 12557746 14678621 19375802 24124091 25115492 29357242 38751604 48248182 58714484 96496364 184070119 368140238 458357729 707216773 736280476 916715458 1414433546 1833430916 2828867092 3497332261 6994664522 13437118687 13989329044 26874237374 53748474748 255305255053 510610510106 1021221020212