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2012200212100 = 2252131547846317
BaseRepresentation
bin11101010010000000011…
…110101001011010000100
321010100211200200211200111
4131102000132221122010
5230431441223241400
64140220401522404
7265243124411401
oct35220036513204
97110750624614
102012200212100
1170640761a801
12285b89943404
131179990288a0
146d568d072a8
153751e0ea3ba
hex1d4807a9684

2012200212100 has 36 divisors (see below), whose sum is σ = 4702357114084. Its totient is φ = 742966231680.

The previous prime is 2012200212097. The next prime is 2012200212109. The reversal of 2012200212100 is 12120022102.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 393610683456 + 1618589528644 = 627384^2 + 1272238^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2012200212109) by changing a digit.

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, 773921859 + ... + 773924458.

Almost surely, 22012200212100 is an apocalyptic number.

2012200212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012200212100 is an abundant number, since it is smaller than the sum of its proper divisors (2690156901984).

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

2012200212100 is a wasteful number, since it uses less digits than its factorization.

2012200212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547846344 (or 1547846337 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2012200212100 its reverse (12120022102), we get a palindrome (2024320234202).

The spelling of 2012200212100 in words is "two trillion, twelve billion, two hundred million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1547846317 3095692634 6191385268 7739231585 15478463170 20122002121 30956926340 38696157925 40244004242 77392315850 80488008484 100610010605 154784631700 201220021210 402440042420 503050053025 1006100106050 2012200212100