Search a number
-
+
213342132 = 22361379769
BaseRepresentation
bin11001011011101…
…01011110110100
3112212102220101110
430231311132310
5414103422012
633100355020
75200243503
oct1455653664
9485386343
10213342132
11aa476113
125b545a70
1335279163
142049683a
1513ae273c
hexcb757b4

213342132 has 48 divisors (see below), whose sum is σ = 507953600. Its totient is φ = 69672960.

The previous prime is 213342113. The next prime is 213342133. The reversal of 213342132 is 231243312.

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 = 213342099 and 213342108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213342133) 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, 277044 + ... + 277812.

Almost surely, 2213342132 is an apocalyptic number.

It is an amenable number.

213342132 is an abundant number, since it is smaller than the sum of its proper divisors (294611468).

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

213342132 is a wasteful number, since it uses less digits than its factorization.

213342132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 213342132 is about 14606.2360654619. The cubic root of 213342132 is about 597.5288474252.

Adding to 213342132 its reverse (231243312), we get a palindrome (444585444).

The spelling of 213342132 in words is "two hundred thirteen million, three hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 61 122 183 244 366 379 732 758 769 1137 1516 1538 2274 2307 3076 4548 4614 9228 23119 46238 46909 69357 92476 93818 138714 140727 187636 277428 281454 291451 562908 582902 874353 1165804 1748706 3497412 17778511 35557022 53335533 71114044 106671066 213342132