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2002120022002 = 237233409283909
BaseRepresentation
bin11101001000100111101…
…001110001011111110010
321002101211012001010102111
4131020213221301133302
5230300320211201002
64131432232235534
7264435254252152
oct35104751613762
97071735033374
102002120022002
11702104614791
12284035b3bbaa
13116a50842669
146cc9026c762
153712e19c3d7
hex1d227a717f2

2002120022002 has 32 divisors (see below), whose sum is σ = 3105169095600. Its totient is φ = 967449443328.

The previous prime is 2002120021969. The next prime is 2002120022059. The reversal of 2002120022002 is 2002200212002.

It can be written as a sum of positive squares in 8 ways, for example, as 1257625430721 + 744494591281 = 1121439^2 + 862841^2 .

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 15 ways as a sum of consecutive naturals, for example, 6910024 + ... + 7193932.

Almost surely, 22002120022002 is an apocalyptic number.

2002120022002 is a deficient number, since it is larger than the sum of its proper divisors (1103049073598).

2002120022002 is a wasteful number, since it uses less digits than its factorization.

2002120022002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284590.

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002120022002 its reverse (2002200212002), we get a palindrome (4004320234004).

It can be divided in two parts, 200212002 and 2002, that multiplied together give a palindrome (400824428004).

The spelling of 2002120022002 in words is "two trillion, two billion, one hundred twenty million, twenty-two thousand, two".

Divisors: 1 2 37 74 233 409 466 818 8621 15133 17242 30266 95297 190594 283909 567818 3525989 7051978 10504633 21009266 66150797 116118781 132301594 232237562 2447579489 4296394897 4895158978 8592789794 27055675973 54111351946 1001060011001 2002120022002