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213111312 = 24337311903
BaseRepresentation
bin11001011001111…
…01001000010000
3112212000011202120
430230331020100
5414024030222
633051414240
75165262531
oct1454751020
9485004676
10213111312
11aa328757
125b454380
13351c808b
1420436688
1513a9915c
hexcb3d210

213111312 has 40 divisors (see below), whose sum is σ = 552059904. Its totient is φ = 70840704.

The previous prime is 213111271. The next prime is 213111323.

It is a happy number.

213111312 is nontrivially palindromic in base 10.

213111312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2131113122 = 90832862604722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213111291 and 213111300.

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, 11953 + ... + 23855.

Almost surely, 2213111312 is an apocalyptic number.

It is an amenable number.

213111312 is an abundant number, since it is smaller than the sum of its proper divisors (338948592).

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

213111312 is a wasteful number, since it uses less digits than its factorization.

213111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12287 (or 12281 counting only the distinct ones).

The product of its digits is 36, while the sum is 15.

The square root of 213111312 is about 14598.3325075161. The cubic root of 213111312 is about 597.3132760369.

The spelling of 213111312 in words is "two hundred thirteen million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 373 746 1119 1492 2238 2984 4476 5968 8952 11903 17904 23806 35709 47612 71418 95224 142836 190448 285672 571344 4439819 8879638 13319457 17759276 26638914 35518552 53277828 71037104 106555656 213111312