Search a number
-
+
211112010 = 23253763397
BaseRepresentation
bin11001001010101…
…01000001001010
3112201020121020100
430211111001022
5413021041020
632540510230
75142264624
oct1445250112
9481217210
10211112010
11a919263a
125a84b376
1334978065
1420075c14
1513801a90
hexc95504a

211112010 has 48 divisors (see below), whose sum is σ = 563735016. Its totient is φ = 54774144.

The previous prime is 211111997. The next prime is 211112023. The reversal of 211112010 is 10211112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211111997) and next prime (211112023).

It can be written as a sum of positive squares in 4 ways, for example, as 192682161 + 18429849 = 13881^2 + 4293^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 211111983 and 211112001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28369 + ... + 35028.

Almost surely, 2211112010 is an apocalyptic number.

211112010 is an abundant number, since it is smaller than the sum of its proper divisors (352623006).

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

211112010 is a wasteful number, since it uses less digits than its factorization.

211112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63447 (or 63444 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 211112010 is about 14529.6940779908. The cubic root of 211112010 is about 595.4395076732.

Adding to 211112010 its reverse (10211112), we get a palindrome (221323122).

The spelling of 211112010 in words is "two hundred eleven million, one hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 63397 126794 190191 316985 380382 570573 633970 950955 1141146 1901910 2345689 2852865 4691378 5705730 7037067 11728445 14074134 21111201 23456890 35185335 42222402 70370670 105556005 211112010