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2201221001032 = 2317353351713037
BaseRepresentation
bin100000000010000010111…
…111101110111101001000
321210102201212122210222221
4200002002333232331020
5242031100034013112
64403121005223424
7315014210535604
oct40020277567510
97712655583887
102201221001032
11779594962149
122b6740561b74
1312c76081b961
147877abaa504
153c3d3739e07
hex20082feef48

2201221001032 has 64 divisors (see below), whose sum is σ = 4384033236720. Its totient is φ = 1032561328128.

The previous prime is 2201221001003. The next prime is 2201221001033. The reversal of 2201221001032 is 2301001221022.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2005072992036 + 196148008996 = 1416006^2 + 442886^2 .

It is a super-3 number, since 3×22012210010323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2201221000997 and 2201221001015.

It is not an unprimeable number, because it can be changed into a prime (2201221001033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168837618 + ... + 168850654.

Almost surely, 22201221001032 is an apocalyptic number.

It is an amenable number.

2201221001032 is a deficient number, since it is larger than the sum of its proper divisors (2182812235688).

2201221001032 is a wasteful number, since it uses less digits than its factorization.

2201221001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16930 (or 16926 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 2201221001032 its reverse (2301001221022), we get a palindrome (4502222222054).

The spelling of 2201221001032 in words is "two trillion, two hundred one billion, two hundred twenty-one million, one thousand, thirty-two".

Divisors: 1 2 4 8 17 34 68 136 353 706 1412 2824 3517 6001 7034 12002 13037 14068 24004 26074 28136 48008 52148 59789 104296 119578 221629 239156 443258 478312 886516 1241501 1773032 2483002 4602061 4966004 9204122 9932008 18408244 21105517 36816488 42211034 45851129 78235037 84422068 91702258 156470074 168844136 183404516 312940148 366809032 625880296 779469193 1558938386 3117876772 6235753544 16185448537 32370897074 64741794148 129483588296 275152625129 550305250258 1100610500516 2201221001032