Search a number
-
+
211123212093 = 32235917286761
BaseRepresentation
bin1100010010011111101…
…1001000111100111101
3202011221112120101221200
43010213323020330331
511424340020241333
6240553315050113
721152554456533
oct3044773107475
9664845511850
10211123212093
118159a605072
1234b008a0939
1316ba7926791
14a30b4a6153
155759c50c13
hex3127ec8f3d

211123212093 has 24 divisors (see below), whose sum is σ = 323608184640. Its totient is φ = 132347434560.

The previous prime is 211123212073. The next prime is 211123212103. The reversal of 211123212093 is 390212321112.

211123212093 is a `hidden beast` number, since 21 + 112 + 321 + 209 + 3 = 666.

It is not a de Polignac number, because 211123212093 - 25 = 211123212061 is a prime.

It is a super-2 number, since 2×2111232120932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211123212073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8631168 + ... + 8655593.

It is an arithmetic number, because the mean of its divisors is an integer number (13483674360).

Almost surely, 2211123212093 is an apocalyptic number.

211123212093 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211123212093 is a deficient number, since it is larger than the sum of its proper divisors (112484972547).

211123212093 is a wasteful number, since it uses less digits than its factorization.

211123212093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17286849 (or 17286846 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 211123212093 in words is "two hundred eleven billion, one hundred twenty-three million, two hundred twelve thousand, ninety-three".

Divisors: 1 3 9 23 59 69 177 207 531 1357 4071 12213 17286761 51860283 155580849 397595503 1019918899 1192786509 3059756697 3578359527 9179270091 23458134677 70374404031 211123212093