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2200121122100 = 2252113164519681
BaseRepresentation
bin100000000001000001011…
…100000001110100110100
321210022220020001011202012
4200001001130001310310
5242021322001401400
64402415515103352
7314645023655516
oct40010134016464
97708806034665
102200121122100
1177908001a8a0
122b6494141b58
1312c6169b1115
14786b4a9dbb6
153c36bdc9d35
hex20041701d34

2200121122100 has 72 divisors (see below), whose sum is σ = 5376296061696. Its totient is φ = 774236160000.

The previous prime is 2200121122063. The next prime is 2200121122123. The reversal of 2200121122100 is 12211210022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32225741 + ... + 32293940.

Almost surely, 22200121122100 is an apocalyptic number.

2200121122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200121122100 is an abundant number, since it is smaller than the sum of its proper divisors (3176174939596).

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

2200121122100 is a wasteful number, since it uses less digits than its factorization.

2200121122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64519737 (or 64519730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2200121122100 its reverse (12211210022), we get a palindrome (2212332332122).

The spelling of 2200121122100 in words is "two trillion, two hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 1100 1364 1550 1705 3100 3410 6820 8525 17050 34100 64519681 129039362 258078724 322598405 645196810 709716491 1290393620 1419432982 1612992025 2000110111 2838865964 3225984050 3548582455 4000220222 6451968100 7097164910 8000440444 10000550555 14194329820 17742912275 20001101110 22001211221 35485824550 40002202220 44002422442 50002752775 70971649100 88004844884 100005505550 110006056105 200011011100 220012112210 440024224420 550030280525 1100060561050 2200121122100