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231021020320 = 25529371345649
BaseRepresentation
bin1101011100100111101…
…1010000010010100000
3211002022020210210102221
43113021323100102200
512241112340122240
6254043554120424
722455626162326
oct3271173202240
9732266723387
10231021020320
1189a80385982
1238934580114
1318a290a10bc
14b277d89d16
156021a32a4a
hex35c9ed04a0

231021020320 has 96 divisors (see below), whose sum is σ = 579867498000. Its totient is φ = 86810443776.

The previous prime is 231021020297. The next prime is 231021020339. The reversal of 231021020320 is 23020120132.

It can be written as a sum of positive squares in 8 ways, for example, as 219020256016 + 12000764304 = 467996^2 + 109548^2 .

It is a super-3 number, since 3×2310210203203 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 231021020294 and 231021020303.

It is an unprimeable number.

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, 501145 + ... + 844504.

Almost surely, 2231021020320 is an apocalyptic number.

231021020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231021020320 is an abundant number, since it is smaller than the sum of its proper divisors (348846477680).

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

231021020320 is a wasteful number, since it uses less digits than its factorization.

231021020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345730 (or 1345722 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 231021020320 its reverse (23020120132), we get a palindrome (254041140452).

The spelling of 231021020320 in words is "two hundred thirty-one billion, twenty-one million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 74 80 116 145 148 160 185 232 290 296 370 464 580 592 740 928 1073 1160 1184 1480 2146 2320 2960 4292 4640 5365 5920 8584 10730 17168 21460 34336 42920 85840 171680 1345649 2691298 5382596 6728245 10765192 13456490 21530384 26912980 39023821 43060768 49789013 53825960 78047642 99578026 107651920 156095284 195119105 199156052 215303840 248945065 312190568 390238210 398312104 497890130 624381136 780476420 796624208 995780260 1248762272 1443881377 1560952840 1593248416 1991560520 2887762754 3121905680 3983121040 5775525508 6243811360 7219406885 7966242080 11551051016 14438813770 23102102032 28877627540 46204204064 57755255080 115510510160 231021020320