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213121024 = 211195477
BaseRepresentation
bin11001011001111…
…11100000000000
3112212000200002021
430230333200000
5414024333044
633051531224
75165333044
oct1454774000
9485020067
10213121024
11aa334a86
125b459b14
13351cc61c
142043a024
1513a9be84
hexcb3f800

213121024 has 48 divisors (see below), whose sum is σ = 448648200. Its totient is φ = 100933632.

The previous prime is 213121021. The next prime is 213121057. The reversal of 213121024 is 420121312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213120989 and 213121007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36174 + ... + 41650.

Almost surely, 2213121024 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 213121024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224324100).

213121024 is an abundant number, since it is smaller than the sum of its proper divisors (235527176).

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

213121024 is an equidigital number, since it uses as much as digits as its factorization.

213121024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5518 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 213121024 is about 14598.6651444576. The cubic root of 213121024 is about 597.3223495713.

Adding to 213121024 its reverse (420121312), we get a palindrome (633242336).

The spelling of 213121024 in words is "two hundred thirteen million, one hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 4864 5477 9728 10954 19456 21908 38912 43816 87632 104063 175264 208126 350528 416252 701056 832504 1402112 1665008 2804224 3330016 5608448 6660032 11216896 13320064 26640128 53280256 106560512 213121024