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11200002000020 = 2251721937716609
BaseRepresentation
bin1010001011111011010000…
…1001000000010010010100
31110122201011101200222022122
42202332310021000102110
52432000101003000040
635453113200315112
72234113330140311
oct242766411002224
943581141628278
1011200002000020
113628992166819
12130a776012a98
13633203c93672
142aa123a17d08
1514650edc61b5
hexa2fb4240494

11200002000020 has 36 divisors (see below), whose sum is σ = 24984917969340. Its totient is φ = 4216471339008.

The previous prime is 11200002000017. The next prime is 11200002000041. The reversal of 11200002000020 is 2000020000211.

It can be written as a sum of positive squares in 6 ways, for example, as 227067498256 + 10972934501764 = 476516^2 + 3312542^2 .

11200002000020 is a modest number, since divided by 2000020 gives 1120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11200001999971 and 11200002000007.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 968852525 + ... + 968864084.

Almost surely, 211200002000020 is an apocalyptic number.

11200002000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11200002000020 is an abundant number, since it is smaller than the sum of its proper divisors (13784915969320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11200002000020 is a wasteful number, since it uses less digits than its factorization.

11200002000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937716652 (or 1937716633 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 11200002000020 its reverse (2000020000211), we get a palindrome (13200022000231).

It can be divided in two parts, 1 and 1200002000020, that added together give a palindrome (1200002000021).

The spelling of 11200002000020 in words is "eleven trillion, two hundred billion, two million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 1937716609 3875433218 7750866436 9688583045 19377166090 32941182353 38754332180 65882364706 131764729412 164705911765 329411823530 560000100001 658823647060 1120000200002 2240000400004 2800000500005 5600001000010 11200002000020