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213013332 = 2232717192617
BaseRepresentation
bin11001011001001…
…01001101010100
3112211211012100200
430230211031110
5414012411312
633045340500
75164404060
oct1454451524
9484735320
10213013332
11aa271084
125b407730
13351925bc
142040caa0
1513a7a0dc
hexcb25354

213013332 has 144 divisors (see below), whose sum is σ = 686125440. Its totient is φ = 54245376.

The previous prime is 213013303. The next prime is 213013337. The reversal of 213013332 is 233310312.

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 (213013337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80088 + ... + 82704.

It is an arithmetic number, because the mean of its divisors is an integer number (4764760).

Almost surely, 2213013332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213013332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343062720).

213013332 is an abundant number, since it is smaller than the sum of its proper divisors (473112108).

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

213013332 is a wasteful number, since it uses less digits than its factorization.

213013332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2665 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213013332 is about 14594.9762589735. The cubic root of 213013332 is about 597.2217218070.

Adding to 213013332 its reverse (233310312), we get a palindrome (446323644).

The spelling of 213013332 in words is "two hundred thirteen million, thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 798 969 1071 1197 1292 1428 1596 1938 2142 2261 2394 2617 2907 3876 4284 4522 4788 5234 5814 6783 7851 9044 10468 11628 13566 15702 18319 20349 23553 27132 31404 36638 40698 44489 47106 49723 54957 73276 81396 88978 94212 99446 109914 133467 149169 164871 177956 198892 219828 266934 298338 311423 329742 348061 400401 447507 533868 596676 622846 659484 696122 800802 845291 895014 934269 1044183 1245692 1392244 1601604 1690582 1790028 1868538 2088366 2535873 2802807 3132549 3381164 3737076 4176732 5071746 5605614 5917037 6265098 7607619 10143492 11211228 11834074 12530196 15215238 17751111 23668148 30430476 35502222 53253333 71004444 106506666 213013332