Search a number
-
+
211120112 = 2479719433
BaseRepresentation
bin11001001010101…
…10111111110000
3112201021000100102
430211112333300
5413021320422
632541011532
75142330350
oct1445267760
9481230312
10211120112
11a9198735
125a853ba8
133497b958
1420078b60
1513804192
hexc956ff0

211120112 has 40 divisors (see below), whose sum is σ = 472323936. Its totient is φ = 89542656.

The previous prime is 211120109. The next prime is 211120139. The reversal of 211120112 is 211021112.

It is a junction number, because it is equal to n+sod(n) for n = 211120093 and 211120102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1148 + ... + 20580.

Almost surely, 2211120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236161968).

211120112 is an abundant number, since it is smaller than the sum of its proper divisors (261203824).

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

211120112 is a wasteful number, since it uses less digits than its factorization.

211120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19545 (or 19539 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 211120112 is about 14529.9728836636. The cubic root of 211120112 is about 595.4471247816.

Adding to 211120112 its reverse (211021112), we get a palindrome (422141224).

The spelling of 211120112 in words is "two hundred eleven million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 19433 38866 77732 136031 155464 272062 310928 544124 1088248 1885001 2176496 3770002 7540004 13195007 15080008 26390014 30160016 52780028 105560056 211120112