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213214231125 = 3353719147251
BaseRepresentation
bin1100011010010010001…
…1101111101001010101
3202101100021012011211000
43012210203233221111
511443130320344000
6241541012533513
721255435030120
oct3064443575125
9671307164730
10213214231125
1182472969675
12353a5021299
131714bbbb84c
14a4690953b7
15582d5e2000
hex31a48efa55

213214231125 has 128 divisors (see below), whose sum is σ = 452893409280. Its totient is φ = 96957000000.

The previous prime is 213214231099. The next prime is 213214231147. The reversal of 213214231125 is 521132412312.

It is a happy number.

213214231125 is a `hidden beast` number, since 2 + 1 + 321 + 4 + 2 + 311 + 25 = 666.

It is not a de Polignac number, because 213214231125 - 27 = 213214230997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4488750 + ... + 4536000.

It is an arithmetic number, because the mean of its divisors is an integer number (3538229760).

Almost surely, 2213214231125 is an apocalyptic number.

213214231125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213214231125 is an abundant number, since it is smaller than the sum of its proper divisors (239679178155).

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

213214231125 is a wasteful number, since it uses less digits than its factorization.

213214231125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47473 (or 47457 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 213214231125 its reverse (521132412312), we get a palindrome (734346643437).

The spelling of 213214231125 in words is "two hundred thirteen billion, two hundred fourteen million, two hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 125 135 175 189 191 225 315 375 525 573 675 875 945 955 1125 1337 1575 1719 2625 2865 3375 4011 4725 4775 5157 6685 7875 8595 12033 14325 20055 23625 23875 25785 33425 36099 42975 47251 60165 71625 100275 128925 141753 167125 180495 214875 236255 300825 330757 425259 501375 644625 708765 902475 992271 1181275 1275777 1504125 1653785 2126295 2976813 3543825 4512375 4961355 5906375 6378885 8268925 8930439 9024941 10631475 14884065 17719125 24806775 27074823 31894425 41344625 44652195 45124705 53157375 63174587 74420325 81224469 124033875 135374115 159472125 189523761 223260975 225623525 243673407 315872935 372101625 406122345 568571283 676870575 947618805 1116304875 1128117625 1218367035 1579364675 1705713849 2030611725 2842856415 3384352875 4738094025 6091835175 7896823375 8528569245 10153058625 14214282075 23690470125 30459175875 42642846225 71071410375 213214231125