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213112152 = 233211535077
BaseRepresentation
bin11001011001111…
…01010101011000
3112212000012220200
430230331111120
5414024042102
633051422200
75165265141
oct1454752530
9485005820
10213112152
11aa329350
125b454960
13351c8586
1420436ac8
1513a9951c
hexcb3d558

213112152 has 96 divisors (see below), whose sum is σ = 641656080. Its totient is φ = 63348480.

The previous prime is 213112139. The next prime is 213112157. The reversal of 213112152 is 251211312.

It is a super-2 number, since 2×2131121522 = 90833578660142208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213112157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39438 + ... + 44514.

Almost surely, 2213112152 is an apocalyptic number.

213112152 is a gapful number since it is divisible by the number (22) 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 213112152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320828040).

213112152 is an abundant number, since it is smaller than the sum of its proper divisors (428543928).

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

213112152 is a wasteful number, since it uses less digits than its factorization.

213112152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5146 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 213112152 is about 14598.3612778969. The cubic root of 213112152 is about 597.3140608263.

Adding to 213112152 its reverse (251211312), we get a palindrome (464323464).

The spelling of 213112152 in words is "two hundred thirteen million, one hundred twelve thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 53 66 72 88 99 106 132 159 198 212 264 318 396 424 477 583 636 792 954 1166 1272 1749 1908 2332 3498 3816 4664 5077 5247 6996 10154 10494 13992 15231 20308 20988 30462 40616 41976 45693 55847 60924 91386 111694 121848 167541 182772 223388 269081 335082 365544 446776 502623 538162 670164 807243 1005246 1076324 1340328 1614486 2010492 2152648 2421729 2959891 3228972 4020984 4843458 5919782 6457944 8879673 9686916 11839564 17759346 19373832 23679128 26639019 35518692 53278038 71037384 106556076 213112152