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2221200210100 = 2252200311089367
BaseRepresentation
bin100000010100101001110…
…110010111100010110100
321212100022021001210110011
4200110221312113202310
5242343004223210400
64420223313110004
7316322261160544
oct40245166274264
97770267053404
102221200210100
11787007680683
122ba597558304
131315c5ac7161
14797143dd324
153cba274a8ba
hex20529d978b4

2221200210100 has 36 divisors (see below), whose sum is σ = 4822411283424. Its totient is φ = 888036429280.

The previous prime is 2221200210091. The next prime is 2221200210109. The reversal of 2221200210100 is 10120021222.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2221200210091) and next prime (2221200210109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221200210109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5344384 + ... + 5744983.

It is an arithmetic number, because the mean of its divisors is an integer number (133955868984).

Almost surely, 22221200210100 is an apocalyptic number.

2221200210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221200210100 is an abundant number, since it is smaller than the sum of its proper divisors (2601211073324).

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

2221200210100 is a wasteful number, since it uses less digits than its factorization.

2221200210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11091384 (or 11091377 counting only the distinct ones).

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

Adding to 2221200210100 its reverse (10120021222), we get a palindrome (2231320231322).

The spelling of 2221200210100 in words is "two trillion, two hundred twenty-one billion, two hundred million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2003 4006 8012 10015 20030 40060 50075 100150 200300 11089367 22178734 44357468 55446835 110893670 221787340 277234175 554468350 1108936700 22212002101 44424004202 88848008404 111060010505 222120021010 444240042020 555300052525 1110600105050 2221200210100