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2100243200 = 28521129833
BaseRepresentation
bin111110100101111…
…0010101100000000
312102100222102001012
41331023302230000
513300130240300
6544223300052
7103021526006
oct17513625400
95370872035
102100243200
11988594890
124a744a628
13276174773
1415cd10a76
15c45b4435
hex7d2f2b00

2100243200 has 108 divisors (see below), whose sum is σ = 5671204728. Its totient is φ = 763699200.

The previous prime is 2100243179. The next prime is 2100243239. The reversal of 2100243200 is 23420012.

It is a super-2 number, since 2×21002432002 = 8822042998292480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55484 + ... + 85316.

Almost surely, 22100243200 is an apocalyptic number.

2100243200 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 2100243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835602364).

2100243200 is an abundant number, since it is smaller than the sum of its proper divisors (3570961528).

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

2100243200 is a wasteful number, since it uses less digits than its factorization.

2100243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29870 (or 29851 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2100243200 is about 45828.4104022821. The cubic root of 2100243200 is about 1280.6285975004.

Adding to 2100243200 its reverse (23420012), we get a palindrome (2123663212).

The spelling of 2100243200 in words is "two billion, one hundred million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 256 275 320 352 400 440 550 640 704 800 880 1100 1280 1408 1600 1760 2200 2816 3200 3520 4400 6400 7040 8800 14080 17600 29833 35200 59666 70400 119332 149165 238664 298330 328163 477328 596660 656326 745825 954656 1193320 1312652 1491650 1640815 1909312 2386640 2625304 2983300 3281630 3818624 4773280 5250608 5966600 6563260 7637248 8204075 9546560 10501216 11933200 13126520 16408150 19093120 21002432 23866400 26253040 32816300 38186240 42004864 47732800 52506080 65632600 84009728 95465600 105012160 131265200 190931200 210024320 262530400 420048640 525060800 1050121600 2100243200