Search a number
-
+
211020128 = 2511254499
BaseRepresentation
bin11001001001111…
…10100101100000
3112201001221012022
430210332211200
5413010121003
632534521012
75141433014
oct1444764540
9481057168
10211020128
11a912a600
125a806168
13349452a7
1420050544
15137d4738
hexc93e960

211020128 has 36 divisors (see below), whose sum is σ = 456655500. Its totient is φ = 95916480.

The previous prime is 211020127. The next prime is 211020143. The reversal of 211020128 is 821020112.

It is a happy number.

It is a super-2 number, since 2×2110201282 = 89058988842272768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23378 + ... + 31121.

It is an arithmetic number, because the mean of its divisors is an integer number (12684875).

Almost surely, 2211020128 is an apocalyptic number.

It is an amenable number.

211020128 is an abundant number, since it is smaller than the sum of its proper divisors (245635372).

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

211020128 is a wasteful number, since it uses less digits than its factorization.

211020128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54531 (or 54512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 211020128 is about 14526.5318641443. The cubic root of 211020128 is about 595.3531110223.

The spelling of 211020128 in words is "two hundred eleven million, twenty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 54499 108998 217996 435992 599489 871984 1198978 1743968 2397956 4795912 6594379 9591824 13188758 19183648 26377516 52755032 105510064 211020128