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2002200221120 = 265114313228067
BaseRepresentation
bin11101001000101100011…
…011101101010111000000
321002102000202221122221012
4131020230123231113000
5230301001224033440
64131444215220052
7264440250034631
oct35105433552700
97072022848835
102002200221120
11702145911550
12284058977628
13116a64342568
146cc9ab87888
153713623ee65
hex1d22c6ed5c0

2002200221120 has 112 divisors (see below), whose sum is σ = 5322127966848. Its totient is φ = 711140828160.

The previous prime is 2002200221107. The next prime is 2002200221143. The reversal of 2002200221120 is 211220022002.

It is a junction number, because it is equal to n+sod(n) for n = 2002200221095 and 2002200221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6462674 + ... + 6765393.

It is an arithmetic number, because the mean of its divisors is an integer number (47518999704).

Almost surely, 22002200221120 is an apocalyptic number.

2002200221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002200221120 is an abundant number, since it is smaller than the sum of its proper divisors (3319927745728).

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

2002200221120 is a wasteful number, since it uses less digits than its factorization.

2002200221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13228138 (or 13228128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2002200221120 its reverse (211220022002), we get a palindrome (2213420243122).

The spelling of 2002200221120 in words is "two trillion, two billion, two hundred million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 172 176 215 220 320 344 352 430 440 473 688 704 860 880 946 1376 1720 1760 1892 2365 2752 3440 3520 3784 4730 6880 7568 9460 13760 15136 18920 30272 37840 75680 151360 13228067 26456134 52912268 66140335 105824536 132280670 145508737 211649072 264561340 291017474 423298144 529122680 568806881 582034948 727543685 846596288 1058245360 1137613762 1164069896 1455087370 2116490720 2275227524 2328139792 2844034405 2910174740 4232981440 4550455048 4656279584 5688068810 5820349480 6256875691 9100910096 9312559168 11376137620 11640698960 12513751382 18201820192 22752275240 23281397920 25027502764 31284378455 36403640384 45504550480 46562795840 50055005528 62568756910 91009100960 100110011056 125137513820 182018201920 200220022112 250275027640 400440044224 500550055280 1001100110560 2002200221120