Search a number
-
+
211120010202222 = 232111907559130927
BaseRepresentation
bin110000000000001100110101…
…001101101000110001101110
31000200111212122111122200012100
4300000030311031220301232
5210132442240102432342
62025003105504115530
762316626443424502
oct6000146515506156
91020455574580170
10211120010202222
11612a6547965470
121b818580305ba6
1390a56baa2cbc4
143a1c3979da302
151961ab1566e4c
hexc00335368c6e

211120010202222 has 48 divisors (see below), whose sum is σ = 499272607372032. Its totient is φ = 63942212697360.

The previous prime is 211120010202173. The next prime is 211120010202247. The reversal of 211120010202222 is 222202010021112.

It is a happy number.

211120010202222 is a `hidden beast` number, since 21 + 11 + 200 + 10 + 202 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211120010202195 and 211120010202204.

It is a congruent number.

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, 279187878 + ... + 279943049.

It is an arithmetic number, because the mean of its divisors is an integer number (10401512653584).

Almost surely, 2211120010202222 is an apocalyptic number.

211120010202222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211120010202222 is an abundant number, since it is smaller than the sum of its proper divisors (288152597169810).

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

211120010202222 is a wasteful number, since it uses less digits than its factorization.

211120010202222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559132853 (or 559132850 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211120010202222 its reverse (222202010021112), we get a palindrome (433322020223334).

The spelling of 211120010202222 in words is "two hundred eleven trillion, one hundred twenty billion, ten million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1907 3814 5721 11442 17163 20977 34326 41954 62931 125862 188793 377586 559130927 1118261854 1677392781 3354785562 5032178343 6150440197 10064356686 12300880394 18451320591 36902641182 55353961773 110707923546 1066262677789 2132525355578 3198788033367 6397576066734 9596364100101 11728889455679 19192728200202 23457778911358 35186668367037 70373336734074 105560005101111 211120010202222