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12002200200010 = 2573137389308509
BaseRepresentation
bin1010111010100111101011…
…1000010010001101001010
31120111101202222010211210201
42232221322320102031022
53033121001222400020
641305422404002414
72346062465263546
oct256517270221512
946441688124721
1012002200200010
113908117130719
12141a13469040a
13690a58491297
142d6ca3caca26
1515c31117ba0a
hexaea7ae1234a

12002200200010 has 64 divisors (see below), whose sum is σ = 22116538922400. Its totient is φ = 4688452841472.

The previous prime is 12002200199971. The next prime is 12002200200013. The reversal of 12002200200010 is 1000200220021.

12002200200010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 3980180611521 + 8022019588489 = 1995039^2 + 2832317^2 .

It is a super-2 number, since 2×120022002000102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 12002200200010.

It is not an unprimeable number, because it can be changed into a prime (12002200200013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38749636 + ... + 39058144.

Almost surely, 212002200200010 is an apocalyptic number.

12002200200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12002200200010 is a deficient number, since it is larger than the sum of its proper divisors (10114338722390).

12002200200010 is a wasteful number, since it uses less digits than its factorization.

12002200200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309115.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002200200010 its reverse (1000200220021), we get a palindrome (13002400420031).

The spelling of 12002200200010 in words is "twelve trillion, two billion, two hundred million, two hundred thousand, ten".

Divisors: 1 2 5 10 73 137 146 274 365 389 685 730 778 1370 1945 3890 10001 20002 28397 50005 53293 56794 100010 106586 141985 266465 283970 308509 532930 617018 1542545 3085090 3890389 7780778 19451945 22521157 38903890 42265733 45042314 84531466 112605785 120010001 211328665 225211570 240020002 422657330 600050005 1200100010 3085398509 6170797018 8760730073 15426992545 16441370137 17521460146 30853985090 32882740274 43803650365 82206850685 87607300730 164413701370 1200220020001 2400440040002 6001100100005 12002200200010