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2220002002100 = 225264513344117
BaseRepresentation
bin100000010011100010011…
…011100100010010110100
321212020012202102112002002
4200103202123210102310
5242333031003031400
64415504351234432
7316250501445011
oct40234233442264
97766182375062
102220002002100
11786552289233
122ba302218a18
131314647ac53c
147963d218708
153cb32465ed5
hex204e26e44b4

2220002002100 has 36 divisors (see below), whose sum is σ = 4817493017484. Its totient is φ = 887984455680.

The previous prime is 2220002002069. The next prime is 2220002002109. The reversal of 2220002002100 is 12002000222.

It can be written as a sum of positive squares in 6 ways, for example, as 27120819856 + 2192881182244 = 164684^2 + 1480838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220002002109) 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, 6279242 + ... + 6623358.

Almost surely, 22220002002100 is an apocalyptic number.

2220002002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220002002100 is an abundant number, since it is smaller than the sum of its proper divisors (2597491015384).

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

2220002002100 is a wasteful number, since it uses less digits than its factorization.

2220002002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408644 (or 408637 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2220002002100 its reverse (12002000222), we get a palindrome (2232004002322).

The spelling of 2220002002100 in words is "two trillion, two hundred twenty billion, two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 64513 129026 258052 322565 344117 645130 688234 1290260 1376468 1612825 1720585 3225650 3441170 6451300 6882340 8602925 17205850 34411700 22200020021 44400040042 88800080084 111000100105 222000200210 444000400420 555000500525 1110001001050 2220002002100