Search a number
-
+
200211202010120 = 235712718397306041
BaseRepresentation
bin101101100001011101001101…
…100100110110110000001000
3222020220000002220110211002112
4231201131031210312300020
5202220230020203310440
61545451431221321452
760112532140633250
oct5541351544666010
9866800086424075
10200211202010120
1158880104048554
121a556332566288
138793ab23148c2
1437623b975c960
151822e45ba7965
hexb6174d936c08

200211202010120 has 128 divisors (see below), whose sum is σ = 518912475586560. Its totient is φ = 68099413616640.

The previous prime is 200211202010089. The next prime is 200211202010137. The reversal of 200211202010120 is 21010202112002.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 200211202010095 and 200211202010104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 654044300 + ... + 654350340.

It is an arithmetic number, because the mean of its divisors is an integer number (4054003715520).

Almost surely, 2200211202010120 is an apocalyptic number.

200211202010120 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 200211202010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259456237793280).

200211202010120 is an abundant number, since it is smaller than the sum of its proper divisors (318701273576440).

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

200211202010120 is a wasteful number, since it uses less digits than its factorization.

200211202010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324583 (or 324579 counting only the distinct ones).

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

Adding to 200211202010120 its reverse (21010202112002), we get a palindrome (221221404122122).

The spelling of 200211202010120 in words is "two hundred trillion, two hundred eleven billion, two hundred two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 508 635 889 1016 1270 1778 2540 3556 4445 5080 7112 8890 17780 18397 35560 36794 73588 91985 128779 147176 183970 257558 306041 367940 515116 612082 643895 735880 1030232 1224164 1287790 1530205 2142287 2336419 2448328 2575580 3060410 4284574 4672838 5151160 6120820 8569148 9345676 10711435 11682095 12241640 16354933 17138296 18691352 21422870 23364190 32709866 38867207 42845740 46728380 65419732 77734414 81774665 85691480 93456760 130839464 155468828 163549330 194336035 272070449 310937656 327098660 388672070 544140898 654197320 777344140 1088281796 1360352245 1554688280 2176563592 2720704490 5441408980 5630236277 10882817960 11260472554 22520945108 28151181385 39411653939 45041890216 56302362770 78823307878 112604725540 157646615756 197058269695 225209451080 315293231512 394116539390 715040007179 788233078780 1430080014358 1576466157560 2860160028716 3575200035895 5005280050253 5720320057432 7150400071790 10010560100506 14300800143580 20021120201012 25026400251265 28601600287160 40042240402024 50052800502530 100105601005060 200211202010120