Search a number
-
+
211211022122010 = 23252593905047873
BaseRepresentation
bin110000000001100001100101…
…111100100011110000011010
31000200211120120021122020022100
4300001201211330203300122
5210140440133130401020
62025113000513304230
762326331011115511
oct6001414574436032
91020746507566270
10211211022122010
11613311008008a9
121b83213bb65076
1390b11633a3991
143a2294d069678
15196413b67ba90
hexc01865f23c1a

211211022122010 has 48 divisors (see below), whose sum is σ = 549360439326504. Its totient is φ = 56301218021376.

The previous prime is 211211022121993. The next prime is 211211022122033. The reversal of 211211022122010 is 10221220112112.

211211022122010 is a `hidden beast` number, since 2 + 1 + 1 + 211 + 0 + 221 + 220 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170316672594849 + 40894349527161 = 13050543^2 + 6394869^2 .

It is a super-2 number, since 2×2112110221220102 (a number of 29 digits) contains 22 as substring.

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

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, 452290567 + ... + 452757306.

Almost surely, 2211211022122010 is an apocalyptic number.

211211022122010 is an abundant number, since it is smaller than the sum of its proper divisors (338149417204494).

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

211211022122010 is a wasteful number, since it uses less digits than its factorization.

211211022122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905050479 (or 905050476 counting only the distinct ones).

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

Adding to 211211022122010 its reverse (10221220112112), we get a palindrome (221432242234122).

The spelling of 211211022122010 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-two million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2593 5186 7779 12965 15558 23337 25930 38895 46674 77790 116685 233370 905047873 1810095746 2715143619 4525239365 5430287238 8145430857 9050478730 13575718095 16290861714 27151436190 40727154285 81454308570 2346789134689 4693578269378 7040367404067 11733945673445 14080734808134 21121102212201 23467891346890 35201837020335 42242204424402 70403674040670 105605511061005 211211022122010