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2200022110100 = 22521710728794201
BaseRepresentation
bin100000000000111011100…
…010010100111110010100
321210022122022201211211002
4200000323202110332110
5242021121130010400
64402402021002432
7314642412250013
oct40007342247624
97708568654732
102200022110100
1177902a1436a1
122b6466b53418
1312c5cc325239
14786a5888a7a
153c36336ced5
hex2003b894f94

2200022110100 has 144 divisors (see below), whose sum is σ = 5105103252480. Its totient is φ = 820022784000.

The previous prime is 2200022110063. The next prime is 2200022110103. The reversal of 2200022110100 is 10112200022.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200022110103) 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 47 ways as a sum of consecutive naturals, for example, 523688000 + ... + 523692200.

It is an arithmetic number, because the mean of its divisors is an integer number (35452105920).

Almost surely, 22200022110100 is an apocalyptic number.

2200022110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200022110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552551626240).

2200022110100 is an abundant number, since it is smaller than the sum of its proper divisors (2905081142380).

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

2200022110100 is a wasteful number, since it uses less digits than its factorization.

2200022110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7218 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2200022110100 its reverse (10112200022), we get a palindrome (2210134310122).

The spelling of 2200022110100 in words is "two trillion, two hundred billion, twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 340 425 428 535 850 1070 1700 1819 2140 2675 2879 3638 4201 5350 5758 7276 8402 9095 10700 11516 14395 16804 18190 21005 28790 36380 42010 45475 48943 57580 71417 71975 84020 90950 97886 105025 142834 143950 181900 195772 210050 244715 285668 287900 308053 357085 420100 449507 489430 616106 714170 899014 978860 1223575 1232212 1428340 1540265 1785425 1798028 2247535 2447150 3080530 3570850 4495070 4894300 5236901 6161060 7141700 7641619 7701325 8990140 10473802 11237675 12094679 15283238 15402650 20947604 22475350 24189358 26184505 30566476 30805300 38208095 44950700 48378716 52369010 60473395 76416190 104738020 120946790 130922525 152832380 191040475 205609543 241893580 261845050 302366975 382080950 411219086 523690100 604733950 764161900 822438172 1028047715 1209467900 1294130653 2056095430 2588261306 4112190860 5140238575 5176522612 6470653265 10280477150 12941306530 20560954300 22000221101 25882613060 32353266325 44000442202 64706532650 88000884404 110001105505 129413065300 220002211010 440004422020 550005527525 1100011055050 2200022110100