Search a number
-
+
211061166201 = 3223451240689
BaseRepresentation
bin1100010010010000111…
…0011101000001111001
3202011210012211010222200
43010210032131001321
511424223124304301
6240543221140413
721151202211654
oct3044416350171
9664705733880
10211061166201
1181568587076
1234aa3b5a709
1316b97b11532
14a30315489b
155754596c86
hex312439d079

211061166201 has 6 divisors (see below), whose sum is σ = 304866128970. Its totient is φ = 140707444128.

The previous prime is 211061166187. The next prime is 211061166229. The reversal of 211061166201 is 102661160112.

211061166201 is a `hidden beast` number, since 21 + 1 + 0 + 6 + 1 + 16 + 620 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176442842601 + 34618323600 = 420051^2 + 186060^2 .

It is not a de Polignac number, because 211061166201 - 234 = 193881297017 is a prime.

It is a super-2 number, since 2×2110611662012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211061166241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11725620336 + ... + 11725620353.

It is an arithmetic number, because the mean of its divisors is an integer number (50811021495).

Almost surely, 2211061166201 is an apocalyptic number.

It is an amenable number.

211061166201 is a deficient number, since it is larger than the sum of its proper divisors (93804962769).

211061166201 is a wasteful number, since it uses less digits than its factorization.

211061166201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23451240695 (or 23451240692 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 211061166201 in words is "two hundred eleven billion, sixty-one million, one hundred sixty-six thousand, two hundred one".

Divisors: 1 3 9 23451240689 70353722067 211061166201