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200212001000001 = 3299722312716037
BaseRepresentation
bin101101100001011101111101…
…001100110000101001000001
3222020220002011120220201011100
4231201131331030300221001
5202220233134224000001
61545452042402405013
760112561012141644
oct5541357514605101
9866802146821140
10200212001000001
1158880484059471
121a556516060769
138793baba02a93
143762453903a5b
151822e90dd0586
hexb6177d330a41

200212001000001 has 12 divisors (see below), whose sum is σ = 289485177877012. Its totient is φ = 133340791031136.

The previous prime is 200212000999993. The next prime is 200212001000003. The reversal of 200212001000001 is 100000100212002.

It can be written as a sum of positive squares in 2 ways, for example, as 122821695425025 + 77390305574976 = 11082495^2 + 8797176^2 .

It is not a de Polignac number, because 200212001000001 - 23 = 200212000999993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200212001000003) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 11156349046 + ... + 11156366991.

Almost surely, 2200212001000001 is an apocalyptic number.

It is an amenable number.

200212001000001 is a deficient number, since it is larger than the sum of its proper divisors (89273176877011).

200212001000001 is a wasteful number, since it uses less digits than its factorization.

200212001000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22312717040 (or 22312717037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200212001000001 its reverse (100000100212002), we get a palindrome (300212101212003).

The spelling of 200212001000001 in words is "two hundred trillion, two hundred twelve billion, one million, one", and thus it is an aban number.

Divisors: 1 3 9 997 2991 8973 22312716037 66938148111 200814444333 22245777888889 66737333666667 200212001000001