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200021202112100 = 225267307782912421
BaseRepresentation
bin101101011110101100010000…
…101100110000111001100100
3222020012211200111010221121112
4231132230100230300321210
5202204121410220041400
61545224245520204152
760063024565304435
oct5536542054607144
9866184614127545
10200021202112100
1158807574060a46
121a525547a69658
13877bbc2a1a445
14375711382948c
15181d025611835
hexb5eb10b30e64

200021202112100 has 144 divisors (see below), whose sum is σ = 442051277532480. Its totient is φ = 78541242278400.

The previous prime is 200021202112087. The next prime is 200021202112103. The reversal of 200021202112100 is 1211202120002.

It is not an unprimeable number, because it can be changed into a prime (200021202112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16103463890 + ... + 16103476310.

It is an arithmetic number, because the mean of its divisors is an integer number (3069800538420).

Almost surely, 2200021202112100 is an apocalyptic number.

200021202112100 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 200021202112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221025638766240).

200021202112100 is an abundant number, since it is smaller than the sum of its proper divisors (242030075420380).

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

200021202112100 is a wasteful number, since it uses less digits than its factorization.

200021202112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20638 (or 20631 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200021202112100 its reverse (1211202120002), we get a palindrome (201232404232102).

The spelling of 200021202112100 in words is "two hundred trillion, twenty-one billion, two hundred two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 307 335 614 670 1228 1340 1535 1675 3070 3350 6140 6700 7675 7829 12421 15350 15658 20569 24842 30700 31316 39145 41138 49684 62105 78290 82276 102845 124210 156580 195725 205690 248420 310525 391450 411380 514225 524543 621050 782900 832207 1028450 1049086 1242100 1664414 2056900 2098172 2403503 2622715 3328828 3813247 4161035 4807006 5245430 7626494 8322070 9614012 10490860 12017515 13113575 15252988 16644140 19066235 20805175 24035030 26227150 38132470 41610350 48070060 52454300 60087575 76264940 83220700 95331175 97244009 120175150 161034701 190662350 194488018 240350300 255487549 322069402 381324700 388976036 486220045 510975098 644138804 805173505 972440090 1021950196 1277437745 1610347010 1944880180 2431100225 2554875490 3220694020 4025867525 4862200450 5109750980 6387188725 6515348603 8051735050 9724400900 12774377450 13030697206 16103470100 25548754900 26061394412 29853910763 32576743015 59707821526 65153486030 119415643052 130306972060 149269553815 162883715075 298539107630 325767430150 597078215260 651534860300 746347769075 1492695538150 2000212021121 2985391076300 4000424042242 8000848084484 10001060105605 20002120211210 40004240422420 50005300528025 100010601056050 200021202112100