Search a number
-
+
22200102002100 = 22352117507989603
BaseRepresentation
bin1010000110000110111010…
…01100011001110110110100
32220121022100021112021200210
411003003131030121312310
510402211302103031400
6115114330331305420
74450622136335121
oct503033514316664
986538307467623
1022200102002100
11708a012908780
1225a66412ab270
13c505cb02c139
1456a6c2581748
15287720235950
hex1430dd319db4

22200102002100 has 144 divisors (see below), whose sum is σ = 70073310021120. Its totient is φ = 5381711164800.

The previous prime is 22200102002093. The next prime is 22200102002123. The reversal of 22200102002100 is 120020100222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247715899 + ... + 247805501.

It is an arithmetic number, because the mean of its divisors is an integer number (486620208480).

Almost surely, 222200102002100 is an apocalyptic number.

22200102002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200102002100 is an abundant number, since it is smaller than the sum of its proper divisors (47873208019020).

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

22200102002100 is a wasteful number, since it uses less digits than its factorization.

22200102002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164710 (or 164703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22200102002100 its reverse (120020100222), we get a palindrome (22320122102322).

The spelling of 22200102002100 in words is "twenty-two trillion, two hundred billion, one hundred two million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 75079 89603 150158 179206 225237 268809 300316 358412 375395 448015 450474 537618 750790 825869 896030 900948 985633 1075236 1126185 1344045 1501580 1651738 1792060 1876975 1971266 2240075 2252370 2477607 2688090 2956899 3303476 3753950 3942532 4129345 4480150 4504740 4928165 4955214 5376180 5630925 5913798 6720225 7507900 8258690 8960300 9856330 9910428 11261850 11827596 12388035 13440450 14784495 16517380 19712660 20646725 22523700 24640825 24776070 26880900 29568990 41293450 49281650 49552140 59137980 61940175 73922475 82586900 98563300 123880350 147844950 247760700 295689900 6727303637 13454607274 20181910911 26909214548 33636518185 40363821822 67273036370 74000340007 80727643644 100909554555 134546072740 148000680014 168182590925 201819109110 222001020021 296001360028 336365181850 370001700035 403638218220 444002040042 504547772775 672730363700 740003400070 888004080084 1009095545550 1110005100105 1480006800140 1850008500175 2018191091100 2220010200210 3700017000350 4440020400420 5550025500525 7400034000700 11100051001050 22200102002100