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213543132 = 2231123371901
BaseRepresentation
bin11001011101001…
…10100011011100
3112212211010002220
430232212203130
5414131340012
633104545340
75202041505
oct1456464334
9485733086
10213543132
11aa5a3130
125b622250
13353197aa
1420509bac
1513b3208c
hexcba68dc

213543132 has 96 divisors (see below), whose sum is σ = 582833664. Its totient is φ = 60192000.

The previous prime is 213543101. The next prime is 213543149. The reversal of 213543132 is 231345312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111382 + ... + 113282.

It is an arithmetic number, because the mean of its divisors is an integer number (6071184).

Almost surely, 2213543132 is an apocalyptic number.

213543132 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 213543132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291416832).

213543132 is an abundant number, since it is smaller than the sum of its proper divisors (369290532).

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

213543132 is a wasteful number, since it uses less digits than its factorization.

213543132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1977 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 213543132 is about 14613.1150683213. The cubic root of 213543132 is about 597.7164421876.

Adding to 213543132 its reverse (231345312), we get a palindrome (444888444).

It can be divided in two parts, 213 and 543132, that added together give a palindrome (543345).

The spelling of 213543132 in words is "two hundred thirteen million, five hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 37 44 46 66 69 74 92 111 132 138 148 222 253 276 407 444 506 759 814 851 1012 1221 1518 1628 1702 1901 2442 2553 3036 3404 3802 4884 5106 5703 7604 9361 10212 11406 18722 20911 22812 28083 37444 41822 43723 56166 62733 70337 83644 87446 112332 125466 131169 140674 174892 211011 250932 262338 281348 422022 480953 524676 773707 844044 961906 1442859 1547414 1617751 1923812 2321121 2885718 3094828 3235502 4642242 4853253 5771436 6471004 9284484 9706506 17795261 19413012 35590522 53385783 71181044 106771566 213543132