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213203233125 = 3254295692297
BaseRepresentation
bin1100011010001111100…
…1110010100101100101
3202101022111111102101200
43012203321302211211
511443120011430000
6241535541113113
721255242403021
oct3064371624545
9671274442350
10213203233125
1182467737713
12353a13b8799
131714983a95c
14a467831381
15582c66d500
hex31a3e72965

213203233125 has 120 divisors (see below), whose sum is σ = 398970257400. Its totient is φ = 109546752000.

The previous prime is 213203233121. The next prime is 213203233129. The reversal of 213203233125 is 521332302312.

It is a happy number.

213203233125 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 323 + 312 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (213203233121) and next prime (213203233129).

It can be written as a sum of positive squares in 20 ways, for example, as 211924884609 + 1278348516 = 460353^2 + 35754^2 .

It is not a de Polignac number, because 213203233125 - 22 = 213203233121 is a prime.

It is a super-2 number, since 2×2132032331252 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213203233121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 92816977 + ... + 92819273.

It is an arithmetic number, because the mean of its divisors is an integer number (3324752145).

Almost surely, 2213203233125 is an apocalyptic number.

213203233125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

213203233125 is a deficient number, since it is larger than the sum of its proper divisors (185767024275).

213203233125 is a wasteful number, since it uses less digits than its factorization.

213203233125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 213203233125 its reverse (521332302312), we get a palindrome (734535535437).

The spelling of 213203233125 in words is "two hundred thirteen billion, two hundred three million, two hundred thirty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 569 625 725 1125 1305 1707 1875 2175 2297 2845 3625 5121 5625 6525 6891 8535 10875 11485 14225 16501 18125 20673 25605 32625 34455 42675 49503 54375 57425 66613 71125 82505 103365 128025 148509 163125 172275 199839 213375 247515 287125 333065 355625 412525 516825 599517 640125 742545 861375 999195 1066875 1237575 1306993 1435625 1665325 2062625 2584125 2997585 3200625 3712725 3920979 4306875 4995975 6187875 6534965 8326625 10313125 11762937 12920625 14987925 18563625 19604895 24979875 30939375 32674825 37902797 41633125 58814685 74939625 92818125 98024475 113708391 124899375 163374125 189513985 294073425 341125173 374698125 490122375 568541955 816870625 947569925 1470367125 1705625865 2450611875 2842709775 4737849625 7351835625 8528129325 14213548875 23689248125 42640646625 71067744375 213203233125