Search a number
-
+
211122212100210 = 23252345802356669
BaseRepresentation
bin110000000000001110111000…
…011101001101100001110010
31000200112002022221220200101200
4300000032320131031201302
5210133011242244201320
62025004112202312030
762320035141310245
oct6000167035154162
91020462287820350
10211122212100210
11612a7477870a74
121b818a957b8616
1390a597bc77418
143a1c52620d25c
151961b8ea0b290
hexc003b874d872

211122212100210 has 24 divisors (see below), whose sum is σ = 548917751460780. Its totient is φ = 56299256560032.

The previous prime is 211122212100179. The next prime is 211122212100211. The reversal of 211122212100210 is 12001212221112.

211122212100210 is a `hidden beast` number, since 2 + 11 + 12 + 221 + 210 + 0 + 210 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 203246965373841 + 7875246726369 = 14256471^2 + 2806287^2 .

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211122212100211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1172901178245 + ... + 1172901178424.

Almost surely, 2211122212100210 is an apocalyptic number.

211122212100210 is an abundant number, since it is smaller than the sum of its proper divisors (337795539360570).

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

211122212100210 is a wasteful number, since it uses less digits than its factorization.

211122212100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2345802356682 (or 2345802356679 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122212100210 its reverse (12001212221112), we get a palindrome (223123424321322).

The spelling of 211122212100210 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twelve million, one hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2345802356669 4691604713338 7037407070007 11729011783345 14074814140014 21112221210021 23458023566690 35187035350035 42224442420042 70374070700070 105561106050105 211122212100210