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231120222320 = 24513219189501
BaseRepresentation
bin1101011100111111010…
…1101011100001110000
3211002120011110210000002
43113033311223201300
512241313234103240
6254101500245132
722461242322101
oct3271765534160
9732504423002
10231120222320
118a0213818a9
12389618407a8
1318a437c5600
14b2872103a8
15602a5cad15
hex35cfd6b870

231120222320 has 120 divisors (see below), whose sum is σ = 584922062592. Its totient is φ = 84888960000.

The previous prime is 231120222317. The next prime is 231120222323. The reversal of 231120222320 is 23222021132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231120222317) and next prime (231120222323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231120222292 and 231120222301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231120222323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2537570 + ... + 2627070.

Almost surely, 2231120222320 is an apocalyptic number.

231120222320 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 231120222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292461031296).

231120222320 is an abundant number, since it is smaller than the sum of its proper divisors (353801840272).

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

231120222320 is a wasteful number, since it uses less digits than its factorization.

231120222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89731 (or 89712 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 231120222320 its reverse (23222021132), we get a palindrome (254342243452).

The spelling of 231120222320 in words is "two hundred thirty-one billion, one hundred twenty million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 191 208 260 338 382 520 676 764 845 955 1040 1352 1528 1690 1910 2483 2704 3056 3380 3820 4966 6760 7640 9932 12415 13520 15280 19864 24830 32279 39728 49660 64558 89501 99320 129116 161395 179002 198640 258232 322790 358004 447505 516464 645580 716008 895010 1163513 1291160 1432016 1790020 2327026 2582320 3580040 4654052 5817565 7160080 9308104 11635130 15125669 17094691 18616208 23270260 30251338 34189382 46540520 60502676 68378764 75628345 85473455 93081040 121005352 136757528 151256690 170946910 222230983 242010704 273515056 302513380 341893820 444461966 605026760 683787640 888923932 1111154915 1210053520 1367575280 1777847864 2222309830 2889002779 3555695728 4444619660 5778005558 8889239320 11556011116 14445013895 17778478640 23112022232 28890027790 46224044464 57780055580 115560111160 231120222320