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2203212330100 = 2252174131609933
BaseRepresentation
bin100000000011111001101…
…100000011010001110100
321210121212122200210221101
4200003321230003101310
5242044134324030400
64404050342255444
7315114440544655
oct40037154032164
97717778623841
102203212330100
1177a416a17151
122b6bb7427584
1312c9ba24b392
14788c944952c
153c49d48856a
hex200f9b03474

2203212330100 has 72 divisors (see below), whose sum is σ = 5185672892568. Its totient is φ = 809214259200.

The previous prime is 2203212330073. The next prime is 2203212330133. The reversal of 2203212330100 is 10332123022.

It can be written as a sum of positive squares in 12 ways, for example, as 275102348004 + 1928109982096 = 524502^2 + 1388564^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15735267 + ... + 15874666.

It is an arithmetic number, because the mean of its divisors is an integer number (72023234619).

Almost surely, 22203212330100 is an apocalyptic number.

2203212330100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2203212330100 is an abundant number, since it is smaller than the sum of its proper divisors (2982460562468).

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

2203212330100 is a wasteful number, since it uses less digits than its factorization.

2203212330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31610005 (or 31609998 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2203212330100 its reverse (10332123022), we get a palindrome (2213544453122).

The spelling of 2203212330100 in words is "two trillion, two hundred three billion, two hundred twelve million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 697 820 850 1025 1394 1700 2050 2788 3485 4100 6970 13940 17425 34850 69700 31609933 63219866 126439732 158049665 316099330 537368861 632198660 790248325 1074737722 1296007253 1580496650 2149475444 2592014506 2686844305 3160993300 5184029012 5373688610 6480036265 10747377220 12960072530 13434221525 22032123301 25920145060 26868443050 32400181325 44064246602 53736886100 64800362650 88128493204 110160616505 129600725300 220321233010 440642466020 550803082525 1101606165050 2203212330100