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100212222200200 = 235211263173197757
BaseRepresentation
bin10110110010010001111001…
…111010000000100110001000
3111010211012021001211022111121
4112302101321322000212020
5101113334112340401300
6553044505341005024
730052044200112055
oct2662217172004610
9433735231738447
10100212222200200
1129a268459a5280
12b2a5972553774
1343bbc83657936
141aa642423202c
15b8bb3ac5681a
hex5b2479e80988

100212222200200 has 96 divisors (see below), whose sum is σ = 255141081264960. Its totient is φ = 36302249657600.

The previous prime is 100212222200149. The next prime is 100212222200213. The reversal of 100212222200200 is 2002222212001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86020279 + ... + 87177478.

It is an arithmetic number, because the mean of its divisors is an integer number (2657719596510).

Almost surely, 2100212222200200 is an apocalyptic number.

100212222200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212222200200 is an abundant number, since it is smaller than the sum of its proper divisors (154928859064760).

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

100212222200200 is a wasteful number, since it uses less digits than its factorization.

100212222200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173198047 (or 173198038 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 100212222200200 its reverse (2002222212001), we get a palindrome (102214444412201).

The spelling of 100212222200200 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 263 275 440 526 550 1052 1100 1315 2104 2200 2630 2893 5260 5786 6575 10520 11572 13150 14465 23144 26300 28930 52600 57860 72325 115720 144650 289300 578600 173197757 346395514 692791028 865988785 1385582056 1731977570 1905175327 3463955140 3810350654 4329943925 6927910280 7620701308 8659887850 9525876635 15241402616 17319775700 19051753270 34639551400 38103506540 45551010091 47629383175 76207013080 91102020182 95258766350 182204040364 190517532700 227755050455 364408080728 381035065400 455510100910 501061111001 911020201820 1002122222002 1138775252275 1822040403640 2004244444004 2277550504550 2505305555005 4008488888008 4555101009100 5010611110010 9110202018200 10021222220020 12526527775025 20042444440040 25053055550050 50106111100100 100212222200200