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213124032 = 26321133637
BaseRepresentation
bin11001011010000…
…00001111000000
3112212000211012200
430231000033000
5414024432112
633051553200
75165344602
oct1455001700
9485024180
10213124032
11aa337270
125b45b800
1335200ac4
142043b172
1513a9ccdc
hexcb403c0

213124032 has 84 divisors (see below), whose sum is σ = 666436056. Its totient is φ = 64581120.

The previous prime is 213124013. The next prime is 213124081. The reversal of 213124032 is 230421312.

213124032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 213123996 and 213124014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10483 + ... + 23154.

Almost surely, 2213124032 is an apocalyptic number.

213124032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213124032 is an abundant number, since it is smaller than the sum of its proper divisors (453312024).

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

213124032 is a wasteful number, since it uses less digits than its factorization.

213124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33666 (or 33653 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213124032 is about 14598.7681672119. The cubic root of 213124032 is about 597.3251597698.

Adding to 213124032 its reverse (230421312), we get a palindrome (443545344).

The spelling of 213124032 in words is "two hundred thirteen million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 33637 67274 100911 134548 201822 269096 302733 370007 403644 538192 605466 740014 807288 1076384 1110021 1210932 1480028 1614576 2152768 2220042 2421864 2960056 3229152 3330063 4440084 4843728 5920112 6458304 6660126 8880168 9687456 11840224 13320252 17760336 19374912 23680448 26640504 35520672 53281008 71041344 106562016 213124032