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2200221120100 = 225285325793917
BaseRepresentation
bin100000000001000111011…
…001011111011001100100
321210100011012012121012211
4200001013121133121210
5242022023101320400
64402433450253204
7314650346642053
oct40010731373144
97710135177184
102200221120100
1177912150a873
122b6501727204
1312c631623a33
14786c409039a
153c375a7ddba
hex2004765f664

2200221120100 has 36 divisors (see below), whose sum is σ = 4780077295924. Its totient is φ = 879056657280.

The previous prime is 2200221120061. The next prime is 2200221120103. The reversal of 2200221120100 is 10211220022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 31193211456 + 2169027908644 = 176616^2 + 1472762^2 .

It is not an unprimeable number, because it can be changed into a prime (2200221120103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12811659 + ... + 12982258.

Almost surely, 22200221120100 is an apocalyptic number.

2200221120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200221120100 is an abundant number, since it is smaller than the sum of its proper divisors (2579856175824).

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

2200221120100 is a wasteful number, since it uses less digits than its factorization.

2200221120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25794784 (or 25794777 counting only the distinct ones).

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

Adding to 2200221120100 its reverse (10211220022), we get a palindrome (2210432340122).

The spelling of 2200221120100 in words is "two trillion, two hundred billion, two hundred twenty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 853 1706 3412 4265 8530 17060 21325 42650 85300 25793917 51587834 103175668 128969585 257939170 515878340 644847925 1289695850 2579391700 22002211201 44004422402 88008844804 110011056005 220022112010 440044224020 550055280025 1100110560050 2200221120100