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213112060 = 22573374517
BaseRepresentation
bin11001011001111…
…01010011111100
3112212000012210021
430230331103330
5414024041220
633051421524
75165264650
oct1454752374
9485005707
10213112060
11aa329277
125b4548a4
13351c8515
1420436a60
1513a994aa
hexcb3d4fc

213112060 has 48 divisors (see below), whose sum is σ = 513100224. Its totient is φ = 72834048.

The previous prime is 213112049. The next prime is 213112061. The reversal of 213112060 is 60211312.

213112060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44922 + ... + 49438.

It is an arithmetic number, because the mean of its divisors is an integer number (10689588).

Almost surely, 2213112060 is an apocalyptic number.

213112060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213112060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256550112).

213112060 is an abundant number, since it is smaller than the sum of its proper divisors (299988164).

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

213112060 is a wasteful number, since it uses less digits than its factorization.

213112060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 213112060 is about 14598.3581268580. The cubic root of 213112060 is about 597.3139748733.

Adding to 213112060 its reverse (60211312), we get a palindrome (273323372).

The spelling of 213112060 in words is "two hundred thirteen million, one hundred twelve thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 337 674 1348 1685 2359 3370 4517 4718 6740 9034 9436 11795 18068 22585 23590 31619 45170 47180 63238 90340 126476 158095 316190 632380 1522229 3044458 6088916 7611145 10655603 15222290 21311206 30444580 42622412 53278015 106556030 213112060