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231310220320 = 25510720296659
BaseRepresentation
bin1101011101101100101…
…0011101110000100000
3211010001101222200021001
43113123022131300200
512242210404022240
6254132404441344
722466040301114
oct3273312356040
9733041880231
10231310220320
118a109653143
12389b53a9254
1318a73c8a16a
14b2a454b744
15603c10b89a
hex35db29dc20

231310220320 has 96 divisors (see below), whose sum is σ = 551932315200. Its totient is φ = 91600444416.

The previous prime is 231310220291. The next prime is 231310220371. The reversal of 231310220320 is 23022013132.

231310220320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34733151 + ... + 34739809.

It is an arithmetic number, because the mean of its divisors is an integer number (5749294950).

Almost surely, 2231310220320 is an apocalyptic number.

231310220320 is a gapful number since it is divisible by the number (20) 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 231310220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275966157600).

231310220320 is an abundant number, since it is smaller than the sum of its proper divisors (320622094880).

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

231310220320 is a wasteful number, since it uses less digits than its factorization.

231310220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 231310220320 its reverse (23022013132), we get a palindrome (254332233452).

The spelling of 231310220320 in words is "two hundred thirty-one billion, three hundred ten million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2029 2140 3424 4058 4280 6659 8116 8560 10145 13318 16232 17120 20290 26636 32464 33295 40580 53272 64928 66590 81160 106544 133180 162320 213088 217103 266360 324640 434206 532720 712513 868412 1065440 1085515 1425026 1736824 2171030 2850052 3473648 3562565 4342060 5700104 6947296 7125130 8684120 11400208 13511111 14250260 17368240 22800416 27022222 28500520 34736480 54044444 57001040 67555555 108088888 114002080 135111110 216177776 270222220 432355552 540444440 1080888880 1445688877 2161777760 2891377754 5782755508 7228444385 11565511016 14456888770 23131022032 28913777540 46262044064 57827555080 115655110160 231310220320