Search a number
-
+
212101021110200 = 235213133724022133
BaseRepresentation
bin110000001110011110011110…
…000001010000111110111000
31000210222122210211202021110212
4300032132132001100332320
5210300030342401011300
62031033510340330252
762450536012521305
oct6016363601207670
91023878724667425
10212101021110200
11616445a0a55482
121b9567229a3988
13914706aba9c01
143a53a5c1080ac
15197c37ab9a935
hexc0e79e050fb8

212101021110200 has 96 divisors (see below), whose sum is σ = 498373761702960. Its totient is φ = 83942938060800.

The previous prime is 212101021110193. The next prime is 212101021110227. The reversal of 212101021110200 is 2011120101212.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3181667 + ... + 20840466.

Almost surely, 2212101021110200 is an apocalyptic number.

212101021110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212101021110200 is an abundant number, since it is smaller than the sum of its proper divisors (286272740592760).

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

212101021110200 is a wasteful number, since it uses less digits than its factorization.

212101021110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24022617 (or 24022608 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212101021110200 its reverse (2011120101212), we get a palindrome (214112141211412).

The spelling of 212101021110200 in words is "two hundred twelve trillion, one hundred one billion, twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 337 524 655 674 1048 1310 1348 1685 2620 2696 3275 3370 5240 6550 6740 8425 13100 13480 16850 26200 33700 44147 67400 88294 176588 220735 353176 441470 882940 1103675 1765880 2207350 4414700 8829400 24022133 48044266 96088532 120110665 192177064 240221330 480442660 600553325 960885320 1201106650 2402213300 3146899423 4804426600 6293798846 8095458821 12587597692 15734497115 16190917642 25175195384 31468994230 32381835284 40477294105 62937988460 64763670568 78672485575 80954588210 125875976920 157344971150 161909176420 202386470525 314689942300 323818352840 404772941050 629379884600 809545882100 1060505105551 1619091764200 2121010211102 4242020422204 5302525527755 8484040844408 10605051055510 21210102111020 26512627638775 42420204222040 53025255277550 106050510555100 212101021110200